فهرست مطالب

  • Volume:8 Issue: 1, 2017
  • تاریخ انتشار: 1396/04/14
  • تعداد عناوین: 29
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  • Choonkil Park, Sang Og Kim* Pages 1-9
    In this paper, we solve the quadratic α-functional equations
    2f(x) 2f(y) = f(x y) α−2f(α(x−y)), (0.1)
    where α is a fixed non-Archimedean number with α−2 6= 3. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the functional equation (0.1) in non-Archimedean Banach spaces.
    Keywords: Hyers, Ulam stability, non, Archimedean normed space, direct method, xed point, quadratic α, functional equation
  • Ezzatallah Baloui Jamkhaneh * Pages 11-21
    In this paper, newly defined level operators and modal-like operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.
    Keywords: Generalized intuitionistic fuzzy sets, intuitionistic fuzzy sets, modal, like operators, level operators
  • Vijay Gupta, Themistocles M. Rassias *, Ekta Pandey Pages 23-32
    In the present article we discuss approximation properties of genuine Lupa¸s-Beta operators of integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention results on the weighted modulus of continuity for the genuine operators.
    Keywords: factorial polynomials, Beta basis function, direct estimates, weighted modulus of continuity, K, functionals
  • Ali Ebadian*, Saman Azizi, Shahram Najafzadeh Pages 33-45
    In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.
    Keywords: Stability of the convolution, Integral convolution, Harmonic univalent, starlike, convex functions
  • Ali Barani *, Fatemeh Malmir Pages 47-60
    In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.
    Keywords: Hermite, Hadamard inequality, convex functions on co, ordinates, geometrically quasiconvex functions
  • Kazem Nouri * Pages 61-68
    Many time-varying phenomena of various fields in science and engineering can be modeled as a stochastic differential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. In this paper, the Adomian decomposition method for solution of the stochastic differential equations are improved. Uniqueness and convergence of their adapted solutions are reviewed. The efficiency of the method is demonstrated through the two numerical experiments.
  • Abdelmajid El Hajaji *, Nadia Barje, Abdelha?d Serghini, Khalid Hilal, El Bekkaye Mermri Pages 69-80
    In this paper, we develop a quadratic spline collocation method for integrating the nonlinear partial differential equations PDEs of a plug flow reactor model. The method is proposed in order to be used for the operation of control design and/or numerical simulations. We first present the Crank-Nicolson method to temporally discretize the state variable. Then, we develop and analyze the proposed spline collocation method for the spatial discretization. The design of the collocation method is interpreted as one order error convergent. This scheme is applied on some test examples, the numerical results illustrate the efficiency of the method and confirm the theoretical behavior of the rates of convergence.
    Keywords: Partial dierential equations, Distributed parameter systems, Plus ow reactors, Perturbed systems, Spline collocation method
  • Mohammadreza Sa? *, Seyyed Mojtaba Ghasemi Pages 81-93
    In this paper, we study the linear fractional transportation problem with uncertain parameters. After recalling some definitions, concepts and theorems in uncertainty theory we present three approaches for solving this problem. First we consider the expected value of the objective function together with the expectation of satisfying constraints. Optimizing the expected value of the objective function with considering chance constrained method for the restrictions is our second approach. In the third approach we add the objective function to the constraints and solve again the problem by chance constrained method. A numerical example is solved by three approaches and their solutions are compared.
    Keywords: Transportation Problem, Linear Fractional Programming, Uncertain Measure, Uncertain Variable, Uncertain Programming
  • Bapurao C. Dhage * Pages 95-112
    In this paper, author proves the algorithms for the existence as well as the approximation of solutions to a couple of periodic boundary value problems of nonlinear first order ordinary integro-differential equations using operator theoretic techniques in a partially ordered metric space. The main results rely on the Dhage iteration method embodied in the recent hybrid fixed point theorems of Dhage in a partially ordered normed linear space. The approximation of the solutions are obtained under weaker mixed partial continuity and partial Lipschitz conditions. Our hypotheses and abstract results are also illustrated by some numerical examples.
    Keywords: Hybrid dierential equation, Hybrid xed point theorem, Dhage iteration method, Existence, approximation theorem
  • Mina Dinarvand * Pages 113-122
    Recently, Takahashi has introduced the James and von Neumann-Jordan type constants. In this paper, we present some sufficient conditions for uniform normal structure and therefore the fixed point property of a Banach space in terms of the James and von Neumann-Jordan type constants and the Ptolemy constant. Our main results of the paper significantly generalize and improve many known results in the recent literature.
    Keywords: James type constant, von Neumann, Jordan type constant, Ptolemy constant, xed point property, uniform normal structure
  • Sara Hassani *, Musa Mammadov Pages 123-131
    In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.
    Keywords: Innite horizon optimization, Ideal convergence, statistical convergence
  • Asiyeh Nematizadeh, Hamid Shayanpour * Pages 133-157
    In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLM-space (PLqM-space)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLM-spaces (PLqM-spaces).
    Keywords: Coupled xed point, Partially ordered PLM, space (PLqM, space), Mixed monotone property
  • Alexandru Mihai Bica * Pages 159-164
    A non-contradictible axiomatic theory is constructed under the local reversibility of the metric triangle inequality. The obtained notion includes the metric spaces as particular cases and the generated metric topology is T1-separated and generally, non-Hausdorff.
    Keywords: Generalized metric space, Triangle inequality, Separated topologies, non, Euclidean geometry
  • Somaye Jafari, Ali Farajzadeh* Pages 165-176
    This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on f used in the literature are relaxed. The KKM technique is used to generalize and unify some existence results for the relaxed µ-quasimonotone equilibrium problems in the literature.
    Keywords: metric linear space, equilibrium problem, Minty equilibrium problem, strong upper sign property
  • Surjan Singh *, Pawan Kumar, K.N. Rai, Nagendra Singh Tomar Pages 177-186
    In this paper we have studied the effect of free convection on the heat transfer and flow through variable porous medium which is bounded by two vertical parallel porous plates. In this study it is assume that free stream velocity oscillates with time about a constant mean. Periodic temperature is considered in the moving plate. Effect of different parameters on mean flow velocity, Transient velocity, Concentration profile and transient temperature studied in detail.
    Keywords: Coutte ow, variable porous medium, concentration prole, oscillatory plates
  • Taher Ghasemi Honary, Mashaalah Omidi *, Amirhossein Sanatpour Pages 187-195
    For the Fr´echet algebras (A,(pk)) and (B,(qk)) and n ∈N, n ≥ 2, a linear map T : A → B is called almost n-multiplicative, with respect to (pk) and (qk), if there exists ε ≥ 0 such that.
    qk(Ta1a2···an −Ta1Ta2···Tan) ≤ εpk(a1)pk(a2)···pk(an),
    for each k ∈ N and a1,a2,...,an ∈ A. The linear map T is called weakly almost n-multiplicative, if there exists ε ≥ 0 such that for every k ∈N there exists n(k) ∈N with
    qk(Ta1a2···an −Ta1Ta2···Tan) ≤ εpn(k)(a1)pn(k)(a2)···pn(k)(an),
    for each k ∈N and a1,a2,...,an ∈ A. The linear map T is called n-multiplicative if
    Ta1a2···an = Ta1Ta2···Tan,
    for every a1,a2,...,an ∈ A.
    In this paper, we investigate automatic continuity of (weakly) almost n-multiplicative maps between certain classes of Fr´echet algebras, including Banach algebras. We show that if (A,(pk)) is a Fr´echet algebra and T : A → C is a weakly almost n-multiplicative linear functional, then either T is n-multiplicative, or it is continuous. Moreover, if (A,(pk)) and (B,(qk)) are Fr´echet algebras and T : A → B is a continuous linear map, then under certain conditions T is weakly almost nmultiplicative for each n ≥ 2. In particular, every continuous linear functional on A is weakly almost n-multiplicative for each n ≥ 2.
    Keywords: multiplicative maps (homomorphisms), almost multiplicative maps, automatic continuity, Fr´echet algebras, Banach algebras
  • Ozen ¨Ozer *, Ahmed Khammas Pages 197-208
    The purpose of this paper is to investigate the real quadratic number fields Q(√d) which contain the specific form of the continued fractions expansions of integral basis element where d ≡ 2,3(mod4) is a square free positive integer. Besides, the present paper deals with determining the fundamental unit
    d =td ud√d/2i1
    and nd and md Yokoi’s d-invariants by reference to continued fraction expansion of integral basis element where `(d) is a period length. Moreover, we mention class number for such fields. Also, we give some numerical results concluded in the tables.
    Keywords: Quadratic Field, Fundamental Unit, Continued Fraction Expansion, Class Number
  • Hossein Monfared, Mahdi Azhini, Mehdi Asadi * Pages 209-224
    Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In 2014 Asadi and et al. [New Extension of p-Metric Spaces with Some fixed point Results on M-metric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to M-metric spaces. In this work, we introduce the class of F(ψ,ϕ)-contractions and investigate the existence and uniqueness of fixed points for the new classC in the setting of M-metric spaces. The theorems that we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions.
    Keywords: Fixed point, Partial metric space, M, metric space
  • Ilknur Yesilce *, Gabil Adilov Pages 225-233
    Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for B-convex and B−1-convex functions are proven.
    Keywords: Hermite, Hadamard Inequality, B, convex functions, B?1, convex functions, abstract convexity
  • Rahim Kargar *, Ali Ebadian, Janusz Sokol Pages 235-244
    In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.
    Keywords: starlike function, duality, Hadamard product, subordination, neighborhood
  • G.S. Saluja, H.K. Nashine *, Y.R. Singh Pages 245-260
    In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and ∆-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature generalize, unify and extend.
    Keywords: total asymptotically nonexpansive mapping, ?, convergence, strong convergence, Noor iteration process, CAT(0) space
  • Leila Nasiri *, Mahmood Shakoori, Wenshi Liao Pages 261-267
    In this paper, we present some refinements of the famous Young type inequality. As application of our result, we obtain some matrix inequalities for the Hilbert-Schmidt norm and the trace norm. The results obtained in this paper can be viewed as refinement of the derived results by H. Kai [Young type inequalities for matrices, J. East China Norm. Univ. 4 (2012) 12–17].
    Keywords: Young inequality, Hilbert, Schmidt norm, Positive semidenite matrices, Renements
  • Abdellah Bnouhachem*, Themistocles M. Rassias Pages 269-289
    In this paper, we propose an inexact alternating direction method with square quadratic proximal (SQP) regularization for the structured variational inequalities. The predictor is obtained via solving SQP system approximately under significantly relaxed accuracy criterion and the new iterate is computed directly by an explicit formula derived from the original SQP method. Under appropriate conditions, the global convergence of the proposed method is proved. We show the O(1/t) convergence rate for the inexact SQP alternating direction method. We also reported some numerical results to illustrate the efficiency of the proposed method.
    Keywords: Variational inequalities, monotone operator, square quadratic proximal method, logarithmic, quadratic proximal method, alternating direction method
  • Alireza Tavakoli Targhi * Pages 291-299
    Online social networks like Instagram are places for communication. Also, these media produce rich metadata which are useful for further analysis in many fields including health and cognitive science. Many researchers are using these metadata like hashtags, images, etc. to detect patterns of user activities. However, there are several serious ambiguities like how much reliable are these information. In this paper, we attempt to answer two main questions. Firstly, are image hashtags directly related to image concepts? Can image concepts being predicted using machine learning models? The results of our analysis based on 105000 images on Instagram show that user hashtags are hardly related to image concepts (only 10%of test cases). Second contribution of this paper is showing the suggested pre-trained model predicate image concepts much better (more than 50% of test cases) than user hashtags. Therefore, it is strongly recommended to social media researchers not to rely only on the user hashtags as a label of images or as a signal of information for their study. Alternatively, they can use machine learning methods line deep convolutional neural network model to describe images to extract more related contents. As a proof of concept, some results on food images are studied. We use few similarity measurements to compare result of human and deep convolutional neural network. These analysis is important because food is an important society health field.
    Keywords: Similarity Measurement Web mining, Health Topics, Computer Vision, Machine Learning Models
  • Said Melliani *, Lalla Saadia Chadli, Abdelati El Allaoui Pages 301-314
    This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.
    Keywords: impulsive evolution equations, Periodic boundary value problems, Control, Mild solutions
  • Arslan Hojat Ansari, Abdolrahman Razani *, Nawab Hussain Pages 315-329
    In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered b-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.
    Keywords: Fixed point, coincidence point, ordered b, metric space
  • Badreddine Meftah * Pages 331-336
    In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi
    aη(b,a) Z a (x−a)p (a η (b,a)−x)q f (x)dx
    in the cases where f and |f|λ for λ > 1, are s-preinvex functions in the second sense.
    Keywords: integral inequality, s, preinvex function, Ho¨lder inequality, power mean inequality
  • Reza Allahyari *, Asadollah Aghajani Pages 337-351
    In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed point theorem. Also we prove an existence result for a quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show the efficiency of our result.
    Keywords: Measure of noncompactness, Quadratic integral equation, Darbo xed point theorem
  • Maliheh Mayghani, Davood Alimohammadi * Pages 389-404
    Let (X,d) be a compact metric space and let K be a nonempty compact subset of X. Let α ∈ (0,1] and let Lip(X,K,dα) denote the Banach algebra of all continuous complex-valued functions f on X for which
    p(K,dα)(f) = sup{|f(x)−f(y)| dα(x,y) : x,y ∈ K,x 6= y}
    Keywords: amenability, Banach function algebra, extended Lipschitz algebra, point derivation, weak amenability