فهرست مطالب

Nonlinear Analysis And Applications - Volume:14 Issue: 7, Jul 2023

International Journal Of Nonlinear Analysis And Applications
Volume:14 Issue: 7, Jul 2023

  • تاریخ انتشار: 1402/05/25
  • تعداد عناوین: 30
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  • Melati Oussama, Slama Abdeldjalil *, Ouahab Abdelghani‬ Pages 1-19
    This paper deals with the existence and exact controllability of a class of non-instantaneous impulsive stochastic integro-differential equations with nonlocal conditions in a Hilbert space under the assumption that the semigroup generated by the linear part is noncompact.  A set of sufficient conditions are generated using the stochastic analysis technique,   Kuratowskii's measure of non-compactness, a resolvent operator and a generalized Darbo's fixed point theorem to obtain existence and controllability results of mild solutions for the considered system. Examples are also given to illustrate the effectiveness of controllability results obtained.
    Keywords: Stochastic integro-differential equations, non-instantaneous impulses, Resolvent operator, Measure of noncompactness, fixed point theory
  • Swati Saxena *, U. Gairola Pages 21-34
    In this paper, a common fixed point theorem for a generalized hybrid contraction map in weak partial metric space is proved. We also present illustrated examples in support of our result. Moreover, we provide a homotopy result as an application of our result.
    Keywords: Generalized Hybrid contraction mapping, Weak Partial metric space, Partial Hausdorff metric, Coincidence point, common fixed point
  • Khadija Channan *, Khalid Hilal, Ahmed Kajouni Pages 35-43
    We have all been injured by corona and its mutations, not just us but the whole world.  The global impact of coronavirus (COVID-19) has been profound and the public health threat it represents is the most serious seen in a respiratory virus since 1918. This paper is concerned with a fractional order $S_{N}S_{C}IR$ model involving the Caputo fractional derivative. The effective methods to solve the fractional epidemic models we introduced to construct a simple and effective analytical technique that can be easily extended and applied to other fractional models and can help guide the concerned bodies in preventing or controlling, even predicting the infectious disease outbreaks.  The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease-free equilibrium is given; Next, we study the stability of the equilibrium points in the sense of Mittag-Leffler. Moreover, some numerical simulations are included to verify the theoretical achievement. These results provide good evidence for the implications of the theoretical results corresponding to the model.
    Keywords: Mittag-Leffler, Global Stability, Lyapunov function
  • Abbas Bashiri, Seyed Mehdi Mirhosseini-Alizamini *, Mikaeil Janbazi-Ghadi Pages 45-56
    In this article, ‎according to the competition in marketing science, ‎a method for better decision-making and marketing forecast based on fuzzy logic "‎fuzzy expert system" ‎is presented regarding the tourism development plan of Majma Hamiyari owned by Abbas Bashiri‎. ‎In this research, ‎the evaluation of the system based on the calculation method of the proposed plan (reverse fund) is presented in attracting different layers of the society based on the definition of input variables such as age, ‎education, ‎marital, ‎place of residence, ‎membership in life insurance and membership in the family fund. ‎In fact, ‎the proposed method offers marketing managers a plan that concentrates the most time and financial capital for advertising for a segment of society that this calculation method (reverse fund) has the greatest effect on attracting customers. ‎The fuzzy expert system was designed with 12 rules after reviewing the rules and removing similar and contradictory rules by using their degree calculation. ‎In this system, ‎by integrating some factors, ‎finally, 6 input variables and one output variable were considered that were used by the product inference engine, ‎singleton fuzzifier and center average defuzzifier‎. ‎It was observed that the designed fuzzy expert system provides very good results.
    Keywords: Fuzzifier‎, ‎Defuzzifier‎, ‎Fuzzy expert system
  • Alireza Sharifi *, Hassan Azadi Kenary Pages 57-72
    In this paper, we establish the Hyers-Ulam-Rassias stability of the following functional equation$$(4p)^nf\left(\frac{x_1+\cdots +x_{(4p)^n}}{(4p)^n}\right)  + 4p\sum_{i=1}^{(4p)^{n-1}} f\left(\frac{x_{4pi-4p+1} + \cdots +x_{4pi}}{4p}\right)  = 2  \sum_{i=1}^{(4p)^n} f\left(\frac{x_i+x_{i+1}}{2}\right)$$in fuzzy Banach spaces.
    Keywords: Fuzzy relations, Analysis, Hyers-Ulam-Rassias stability, Fuzzy normed space
  • Tuqaa Radhi, Iraq Abass * Pages 73-80
    Despite the fact that statistical solutions for dealing with Multi-Objective Assignment Problems (MOAP) have just been available for a long time, the further application of Evolutionary Algorithms (EAs) to such difficulties presents a vehicle for tackling MOAP with an extraordinarily large scope. MOGASA is a suggested multi-objective optimizer with simulated annealing that combines the hegemony notion with a discrete wavelet transform. While decomposition streamlines the multi-objective problem (MOP) by expressing it as a collection of many corresponding authors, tackling these issues at the same time in the GA context may result in early agreement due to the command meanwhile screening process, which employs the Methodology as a criterion. Supremacy is important in constructing the leaders archive because it allows the chosen leaders to encompass fewer dense regions, eliminating local minima and meanwhile producing a more diverse approximating Allocative efficiency front. MOGASA outperforms several decomposition-based growth strategies, according to results from 31 stand meanwhile are MOPs. MATLAB was used to generate all of the findings (R2017b).
    Keywords: Memtic Algorithm, Multi-Objective Assignment Problems
  • Abbas Bashiri, Seyed Mehdi Alizamini *, Mikaeil Janbazi-Ghadi Pages 81-98
    In this paper‎, ‎a new approach for decision-making and marketing forecast based on fuzzy logic fuzzy expert system is presented regarding the tourism development plan of the Majma Hamiyari Association by Abbas Bashiri‎. ‎In other words‎, ‎let's look at system marketing using the reverse fund design calculation method in attracting different strata according to the input and output variables‎. ‎In fact‎, ‎we offer the marketing manager a plan to focus the most time and capital for advertising on the segment where this calculation method has the greatest impact on attracting customers‎. ‎This study suggests an infrastructure for determining the factors affecting tourism‎. ‎Hence‎, ‎the newest multi-criteria decision-making method‎, ‎the fuzzy best-worst method was used to calculate the relative importance of indices and fuzzy evaluation based on distance from average solution technique was applied as a multi-attribute decision-making method to rank effective factors in tourism‎. ‎The statistical population of this research consists of directors and experts in the tourism industry in Mazandaran‎. ‎Due to the results of this study‎, ‎providing Banking facilities to users ranks first among other options for the economy itself.
    Keywords: Majma Hamyari cultural plan, ‎Fuzzy best worst method‎, Fuzzy EDAS method, ‎Fuzzy expert system‎, ‎Multi-criteria decision-making
  • Hormoz Rahmatan * Pages 99-106
    In this paper, we investigate the Toeplitz determinant for a family of functions with bounded turnings, we give estimates of the Toeplitz determinants of fifth order for the set $\mathcal{R}$ of univalent functions with bounded turnings in the unit disc. Also, we obtain bounds of the fifth Toeplitz determinant for the subclasses of the class $\mathcal{R}$.
    Keywords: Analytic functions, Univalent functions, Bounded turning functions, Toeplitz determinant
  • Yaghoub Mahmoudi Jabdaraq, Asgar Pakmaram, Nader Rezaei, Rasoul Abdi * Pages 107-117
    This study is aimed at investigating the management of external and internal conflicts in the accounting environment. The present study is qualitative research. According to the purpose of the research, the data were collected through unstructured interviews through an exploratory approach. The statistical population of this study is the relevant managers in the investment profession, including managers of investment companies, brokerages, stock exchange organizations, stock exchange and OTC companies, investment funds, financial analysts (technical and fundamental), investors active in the capital market, Professors of finance and accounting and investment and other experts in the field of behavioral risks. Methods were used to collect data. Examples studied in this study include relevant managers in the investment profession including managers of investment companies, brokerages, stock exchange organizations, stock exchange and OTC companies, investment funds, financial analysts (technical and fundamental), and active investors In the capital market, there will be professors of finance and accounting and investment and other experts in the field of behavioral risks. The MAXQDA software has been used for qualitative analysis. In this study, after coding the interview texts, removing the synonymous and repetitive criteria and finally, 8 main categories and 44 sub-categories were obtained by categorizing and categorizing the final criteria. The main categories include individual differences, structural differences, conflict management and conflict, conflict resolution strategy, conflict management techniques, demarcation of constructive and destructive conflict and conflict, non-participation of individuals in organizational decisions, conflict resolution in the constructive path and efficient.
    Keywords: Conflict management, Conflict, External, Internal, Accounting Environment
  • Abdolrahman Razani, Farzaneh Safari * Pages 119-122
    Here, the existence of at least one nontrivial solution for the $(p,q)$-Laplacian problem\[\left\{ \begin{array}{lc}div(|\nabla u|^{p-2}\nabla u)+div(|\nabla u|^{q-2}\nabla u)=f(x,u)\qquad &  x\in \Omega, \\\\|\nabla u|^{p-2}\frac{\partial u}{\partial n}+ |\nabla u|^{q-2}\frac{\partial u}{\partial n}=g(x,u)  & x\in  \partial  \Omega\end{array} \right.\]is done, where $ \Omega$ is a bounded domain in $\mathbb{R}^N, N\geq 3$ and $q, p\geq 2$, via variational methods.
    Keywords: $(p, q)$-Laplace equation, Steklov boundary conditions, Mountain Pass Theorem
  • Hasan Baqeri, Hassan Dehghan Dehnavi *, Shahnaz Nayebzadeh, Mozhde Rabbani, Mohammad Taghi Honari Pages 123-134
    Many countries and governments that seek to achieve economic prosperity and benefit from the power and other benefits derived from it; they consider the tourism industry as a golden opportunity. Considering the vast amount of mines in Iran and stating that mining has many positive and negative effects on the environment due to its vastness. Scientometrics is one of the reliable tools for evaluating materials and information sources and identifying research areas and drawing connections between these areas in the form of a thematic map. Using this technique to gain a comprehensive insight related to the potential of mining tourism for the sustainable development of mines is a new action and provides a comprehensive understanding of published articles and research for researchers. This study, which follows the interpretative paradigm, is a type of descriptive study that was conducted using a systematic review method and using the search terms defined in the web of science database in the title of the articles and in the time period of 1955 to 2022. Published research in the field of mining tourism has been deeply investigated. After searching, screening and qualitative evaluation of studies, the final analysis of 52 articles and in-depth analysis of selected articles showed that the most research in the field of tourism in the field of mining is related to 2020 and China, Australia and Slovakia respectively. They have the highest number of research and communication between authors.
    Keywords: Mining Tourism, Sustainable Development of Mines, Systematic review, Scientometrics
  • Effat Akramimoghadam, Abbas Sheybani Tezerji *, Hossein Shafiee Pages 135-142
    Continuous auditing is a concept that refers to more frequency of audit reports and tries to use new technologies to lead the audit process towards more automation and reporting of exceptions. Continuous auditing was performed based on the presentation of the desired model. This research was a descriptive correlation study using structural equation modeling. The research community included all certified auditors who are members of the Iranian Association of Certified Public Accountants. The number of samples in this study was estimated to be 110 people who were selected by simple random sampling. A questionnaire was used to collect data. Statistical analysis was performed with LISREL software. Structural equation modeling was also used to test the research hypotheses. The results showed that audit factors such as the use of more analytical techniques and skills in the continuous auditing system, the establishment of risk management systems, improving the effectiveness and efficiency of the internal control system, increasing demand from stakeholders to provide audit reports on the development and rational composition of audit research. Continuous auditing has a significant effect.
    Keywords: Continuous Auditing, Development, Rational Combination of Research, Internal Control
  • Mohammad Esmael Samei *, Azam Fathipour Pages 143-158
    This paper deals with the stability results for the solution of a fractional $q$--integro-differential problem with integral conditions. Using Krasnoselskii's, and Banach's fixed point theorems, we prove the existence and uniqueness of results. Based on the results obtained, conditions are provided that ensure the generalized Ulam stability of the original system on a time scale. The results are illustrated by the examples under the numerical technique.
    Keywords: $q$-integro-differential problem, Krasnoselskii's theorem, stability
  • Hamideh Shojaei Baghini, Alireza Manzari Tavakoli *, Sanjar Salajegheh, Rahman Jalali Javaran Pages 159-172

    This study aims to find the structural equations of citizenship rights based on cultural policies and sustainable social development in government organizations. The existing research is applied and developmental in terms of purpose and in terms of the method is descriptive correlational research. The statistical population of the research includes all employees of government organizations and departments in Kerman in 2020 and the sample size using Cochran's formula is 378 people. Classes are selected randomly. Data collection includes three research questionnaires: 96 questions about Cultural Policies with a validity of 0.84, a reliability of 0.971, a questionnaire of 71 questions about sustainable social development with a validity of 0.94 and a reliability of 0.935 and a questionnaire of 71 questions of citizenship rights with a validity of 0.91 and Reliability was 0.966. For data analysis, Pearson correlation, multiple linear regression and structural equation modeling were used using SPSS and AMOS22 software. The results showed that the proposed model to explain the provision of citizenship rights based on cultural policies and sustainable social development in government organizations has an acceptable fit. According to the research results, there is a significant relationship between cultural policies and citizenship rights in government organizations. There is also a significant relationship between sustainable social development and citizenship rights in government organizations.

    Keywords: sustainable social development, cultural policies, citizenship rights, government organizations
  • Saeid Shokooh *, S.Kh. Hossini Asl, M. Shahini Pages 173-178
    In this article, by using critical point theory, we prove the existence of infinitely many weak solutions for a nonlinear problem with Hardy potential. Indeed, intervals of parameters are determined for which the problem admits an unbounded sequence of weak solutions.
    Keywords: Weak solutions, Navier boundary conditions, $p$-triharmonic operators
  • Taraneh Sayyah, Sanjar Salajegheh *, Mohammad Jalal Kamali, Zahra Anjomshoaa Pages 179-188
    The aim of this study was to model the structural equations of the relationship between job descriptions and employee competencies. The existing research is descriptive research in terms of practical and developmental purpose and correlational descriptive research in terms of method. The statistical population of the study includes all the work of employees of pharmaceutical companies in Tehran from 1399 to 1870 people, of which 800 people were selected as a sample by simple random sampling method. Four researcher-made questionnaires were used to collect data, which included an 80-item questionnaire describing job descriptions with a validity of 0.84 and reliability of 0.967, a 98-item questionnaire on employee competencies with a validity of 0.86 and reliability of 0.953. Structural equation modeling was used to analyze the data using SPSS and AMOS22 software. The results showed that the proposed model has an acceptable fit to explain the relationship between job descriptions and employee competencies. So that there is a positive and significant relationship between job descriptions of physical abilities (including physical health, and physical ability); intellectual abilities (including intelligence, memory, creativity, innovation, and flexibility); social skills (including social interactions, verbal skills, nonverbal skills, emotion management, social responsibility, emotional intelligence) and mental ability (including mental health, adjustment and vitality) and competencies of pharmaceutical companies employees.
    Keywords: job description, competency, employees, pharmaceutical companies
  • Ali Ebrahimi, Kamal Mirzaie *, Ali Mohamad Latif Pages 189-195
    This paper proposes a method for image texture classification based on a complex small world network model. Finding important and valuable information in the context of an image is a big problem for image classification. In current analysis methods, image texture features such as spatial information are left out and color histogram is mostly used. In this article, the multi-radial distance analysis method is used to select the nodes, and then based on the identified nodes and calculating the shortest distance between adjacent nodes, a complex network is created to record the texture pattern. In the next step, the topological characteristics of the network such as the number of nodes, the number of triple triangles, the length of the edges and the average diameter of the network are identified and used for evaluation. Brodatz, UIUC and Outex databases have been used to test the system. The results of the proposed method show that this method is effective for texture classification and improves the classification rate compared to the usual traditional methods.
    Keywords: Texture analysis, Texture classification, Dynamic complex network, Network similarity
  • Javad Dadashi, Seyed Ali Nabavi Chashmi *, Erfan Memarian Pages 197-206

    Along with the increase in trade between countries, exchange rate changes are considered as one of the most important risk factors in the financial markets, so these changes affect macroeconomic variables such as the price of imported goods and services, the price of domestically produced goods, and the yield of companies' shares. The purpose of this research is to investigate the relationship between exchange rate changes and asset returns in the framework of a theoretical and empirical model of the consumption-based capital asset pricing model (CCAPM), for this purpose, through the development of a basic CCAPM model with the help of Epstein and Zin's return utility function and entering Imported consumer goods in it, this relationship is examined. The research sample included 69 companies in Tehran Stock Exchange and monthly data from 1390 to 1398. Linear asset pricing model using Fama and Macbeth's two-stage regression method, the effects of exchange rate risk on asset returns were investigated. The estimation results of the two-stage regression model or the linear asset pricing model indicate that the beta coefficient of the exchange rate (exchange rate risk adjustment, $\lambda_1$) is equal to 0.81, that is, there is a positive and significant relationship between the exchange rate risk adjustment and the asset return adjustment.

    Keywords: systematic risk, Exchange Rate, return on assets, asset pricing model based on consumption
  • Sharife Chokani, Fateme Movahedi *, Seyyed Mostafa Taheri Pages 207-216
    In this paper, we investigate some of the graph energies of the zero-divisor graph $\Gamma(R)$ of finite commutative rings $R$. Let $Z(R)$ be the set of zero-divisors of a commutative ring $R$ with non-zero identity and $Z^*(R)=Z(R)\setminus \{0\}$. The zero-divisor graph of $R$, denoted by $\Gamma(R)$, is a simple graph whose vertex set in $Z^*(R)$ and two vertices $u$ and $v$ are adjacent if and only if $uv=vu=0$. We investigate some energies of $\Gamma(R)$ for the commutative rings $R\simeq \mathbb{Z}_{p^2}\times \mathbb{Z}_{q}$, $R\simeq \mathbb{Z}_{p}\times \mathbb{Z}_{p}\times \mathbb{Z}_{p}$ and $R\simeq \mathbb{Z}_{p}\times \mathbb{Z}_{p}\times \mathbb{Z}_{p}\times \mathbb{Z}_{p}$ where $p, q$ the prime numbers.
    Keywords: Commutative ring, Zero-divisor graph, line graph, Minimum edge dominating energy, Laplacian energy
  • Habib Pour Asadollah, Ali Mehdizadeh Ashrafi *, Mojtaba Tabari Pages 217-231
    Nowadays, human resource development is the concept of thought and idea by the organization's staff, and its new concept requires employees to be equipped with qualities and skills that, with full compassion and commitment fulfill their capabilities, energy, expertise and thought to fulfill their mission. Put the organization. This paper is aimed at designing the causal Pattern of Human Resources Development at Islamic Azad University based on the general policies of the administrative system transformation according to the fuzzy Dematel method. In this study, information about 16 experts and professors at Islamic Azad University, forms a statistical sample. The results show that individual, environmental, educational, social, economic and management factors affect human resource development at Islamic Azad University. The fuzzy Dematel-based method has also shown that the training factor with an average effect of 1.65 is the most important factor in this study. On the other hand, environmental factors with an average effect of 0.520 are a factor with the least effect.
    Keywords: Human Resource Development Model, Fuzzy DEMATEL, data analysis
  • Nasibeh Kakoui, Kambiz Hojabr-Kiani *, Farhad Ghaffari, Ali Emami Meibodi Pages 233-242
    Given the expansion of cities in recent decades, it is necessary to address environmental problems such as air pollution and study its impact on the economy. One of the most important sectors of the economy in which the environmental effects are very evident is the housing sector. The importance of housing is such that has always been introduced as one of the main human needs. However, the increase in housing prices in recent years and the high cost of services, in the housing sector, have led to little attention being paid to consumer tastes and preferences, including clean air, in housing construction. Therefore, considering the importance of air and housing pollution, the purpose of this article is the asymmetric analysis of the effect of air pollution on the housing price index in Iran. In this regard, the macroeconomic model was used in which the variables of air pollution index, per capita income, liquidity, consumer price index, interest rate and exchange rate were used as explanatory variables for the dependent variable of the housing rent index. The model was estimated using annual data over a period of time (1996-2017) for the Iranian economy and using the Nonlinear Autoregressive Distributed Lag Method (NARDL). The NARDL technique is able to examine the effect of positive and negative air pollution shocks in the short and long term separately on housing prices. It should be noted that the indicator used to express air pollution is (PM2.5). The results of the estimate indicate the fact that each negative shock of air pollution leads to an increase in rent and each positive shock of air pollution leads to a decrease in rent. Estimates also show that per capita income is the most effective variable on housing prices, while interest rate and liquidity had no significant effect on housing prices.
    Keywords: Environment, Air pollution, Housing prices, Non Linear ARDL
  • Abedin Saeedi Kia, Darioush Hassanvand *, Reza Maaboudi, Farhad Tarhami Pages 243-254
    Examining the movement trend of life insurance returns shows, That the movement of income return has been less than the movement of return of life insurance claims. Fewer movements of income return than movements of life insurance claims in the economy arise from various variables, including life insurance management, Part of which is due to risk recognition. This helps life insurance industry executives, To the extent of the boundary between tolerable and intolerable risks in accepting or not accepting various swimming risks, And by managing them, they can play an important role in marketing and increasing the demand for insurance and, in general, for the optimal growth of life insurance. Hence the purpose of the article; Investigating the effect of risk on life insurance return during the period 1971-2019 using the ARIMA-GARCH / TARCH model and beta coefficient. The results show; There is a significant relationship between examining the impact of risk on life insurance return. Also in this research, systematic risk has been investigated using the beta coefficient method. Because the beta coefficient obtained is 17\% and is less than one and greater than zero. This result indicates that life insurance income is smaller than the general trend of market movement and risk aversion has a negative impact on the return on life insurance income.
    Keywords: Risk, Life Insurance, The movement process of efficiency, Beta coefficient
  • Sayd Siavash Hosseini, Azim Aminataei *, Fatemeh Kiany, Mohsen Zahraei, Mahmood Alizadeh Pages 255-260
    In this paper, we convert the fourth-order differential equations with two-point boundary conditions into a differential equation with homogeneous boundary conditions. Because the decomposition methods are closely related to the McLaren series, the McLaren series has a higher accuracy for points close to zero. Then we use Adomian decomposition and homotopy perturbation methods to solve three linear and nonlinear experiments.
    Keywords: Boundary value problems, Homotopy perturbation method, Adomian Decomposition Method, Modification, stability
  • Fatemeh Farivarnia, Keyhan Azadi Hir *, Mohammadreza Vatanparast Pages 261-274
    The main purpose of this study is to identify and present a model of factors affecting the accounting information system in Tehran Stock Exchange companies using a combined approach. The research is descriptive research and a combination of qualitative and quantitative methods has been used. Through structural equations, the researcher examined the research hypotheses in the form of model fit, the results showed that the infrastructure with the effect of 0.905, requirements and policy with 0.880, and transparency with 796, respectively. / 0, organizational arrangements with 0.619 and education and culture with 0.396 have an effect on the accounting information system in listed companies. To present the problems and challenges identified in the companies under study.
    Keywords: Accounting information, Implementation of Accounting Information System, Accounting Information System
  • Saeed Ahmadi, Elham Faridchehr *, Mahmoud Ahmadi Sharif Pages 275-294
    Brand equity is one of the assets that maintain the value of the company and the loyalty of customers to follow, therefore, is important for corporate success. The purpose of this research is to design a conceptual model of brand equity in the automotive industry. In order to conduct the analysis process, the analysis of data theory was used by relying on the [17] method. This analysis is based on the implementation process based on three steps analysis of open codes; Axial coding analysis and selective coding analysis such as [32]. The reason for using this approach was that due to effective functions in relation to the phenomenon studied, the special value of the brand, although criteria in past research were created, these criteria did not have the necessary effectiveness within the framework of a coherent and integrated theoretical approach in the automotive industry. To conduct this approach, 13 experts of commercial management experts who had a good scientific level were used to conduct an interview. In other words, the research point of 13 reached theoretical saturation, the point that is based on the interview process. Performed interviews at the beginning of it, because concepts did not have specific integrity and in interviews, 5 to 7, interviews were performed by the approximate dimension of the model, interviews were carried out half open and based on that, the coherent framework of the conceptual model of brand value in the automotive industry was carried out.
    Keywords: Brand Equity, Pattern, Automotive Industry
  • Shahroud Azami * Pages 295-307
    We consider the Steklov problem associated with the weighted p-Laplace operator and $(p,q)$-Laplacian on submanifolds with the boundary of Euclidean spaces and prove Reilly-type upper bounds for their first eigenvalues.
    Keywords: Steklov problem, Eigenvalue, hypersurfaces
  • Sajjad Karami, Javad Fathi *, Ahmad Ahmadi Pages 309-320
    In this paper, the conditions for the superposition operators were provided to map the space $bv_{p}$ into $b v_{q}$, where $1 \leq p$, $q<\infty$. Additionally, we presented the necessary and sufficient conditions under which superposition operators become bounded, continuous and uniformly continuous on the sequence space $b v_{p}$.
    Keywords: Bounded, Continuity modulus, Locally Bounded, Superposition operator
  • Mostafa Hassanlou *, Morteza Sohrabi Pages 321-326
    In this paper we first study the characterization of Bloch space in terms of pseudo-hyperbolic metric. Then the action of symmetric lifting operator on weighted Bloch spaces will be studied.
    Keywords: Symmetric lifting operator, Bloch spaces, Pseudo-hyperbolic metric, hyperbolic metric
  • Bahram Vakili * Pages 327-330
    A module $M$ is called a $CLS$-module if every ${S}$-closed submodule of $M$  is a direct summand of $M$ [9]. We give a characterization for $CLS$-modules and obtain a sufficient condition for $CLS$-submodules of a $CLS$-module. Also, we characterize the splitting property in terms of  $UT$-modules and the $S$-closure of submodules.
    Keywords: ‎$mathscr{S}$-closure‎, ‎$CLS$-module‎, ‎splitting property‎
  • Kanokwan Sawangsup, Wutiphol Sintunavarat * Pages 331-344
    In this paper, we present fixed point results in $\mathcal{D}$-generalized metric spaces endowed with a transitive relation that is not necessarily a partial order. We also give two examples with numerical results to support our main results while fixed-point results in the literature are not applicable. Moreover, we introduce some new notions for consideration of the multidimensional fixed point results in the $\mathcal{D}$-generalized metric spaces.
    Keywords: Fixed point of $N$-order, $, mathcal{D}$-generalized metric space, transitive relation