فهرست مطالب
 Volume:8 Issue: 1, 2017
 تاریخ انتشار: 1396/04/14
 تعداد عناوین: 29


Pages 19In this paper, we solve the quadratic αfunctional equations
2f(x) 2f(y) = f(x y) α−2f(α(x−y)), (0.1)
where α is a ﬁxed nonArchimedean number with α−2 6= 3. Using the ﬁxed point method and the direct method, we prove the HyersUlam stability of the functional equation (0.1) in nonArchimedean Banach spaces.Keywords: Hyers, Ulam stability, non, Archimedean normed space, direct method, xed point, quadratic α, functional equation 
Pages 1121In this paper, newly deﬁned level operators and modallike 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

Pages 2332In the present article we discuss approximation properties of genuine Lupa¸sBeta operators of integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of DitzianTotik 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

Pages 3345In 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

Pages 4760In this paper we introduce the concept of geometrically quasiconvex functions on the coordinates and establish some HermiteHadamard type integral inequalities for functions deﬁned on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the coordinates are considered.Keywords: Hermite, Hadamard inequality, convex functions on co, ordinates, geometrically quasiconvex functions

Pages 6168Many timevarying 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.

Pages 6980In 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 CrankNicolson 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

Pages 8193In 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

Pages 95112In 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 integrodiﬀerential 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

Pages 113122Recently, Takahashi has introduced the James and von NeumannJordan 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 NeumannJordan 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

Pages 123131In 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

Pages 133157In this paper, we deﬁne the concept of probabilistic like Menger (probabilistic like quasi Menger) space (brieﬂy, PLMspace (PLqMspace)). We present some coupled ﬁxed point and ﬁxed point results for certain contraction type maps in partially order PLMspaces (PLqMspaces).Keywords: Coupled xed point, Partially ordered PLM, space (PLqM, space), Mixed monotone property

Pages 159164A noncontradictible 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 T1separated and generally, nonHausdorﬀ.Keywords: Generalized metric space, Triangle inequality, Separated topologies, non, Euclidean geometry

Pages 165176This 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 µquasimonotone equilibrium problems in the literature.Keywords: metric linear space, equilibrium problem, Minty equilibrium problem, strong upper sign property

Pages 177186In 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

Pages 187195For the Fr´echet algebras (A,(pk)) and (B,(qk)) and n ∈N, n ≥ 2, a linear map T : A → B is called almost nmultiplicative, 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 nmultiplicative, 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 nmultiplicative if
Ta1a2···an = Ta1Ta2···Tan,
for every a1,a2,...,an ∈ A.
In this paper, we investigate automatic continuity of (weakly) almost nmultiplicative 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 nmultiplicative linear functional, then either T is nmultiplicative, 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 nmultiplicative for each n ≥ 2.Keywords: multiplicative maps (homomorphisms), almost multiplicative maps, automatic continuity, Fr´echet algebras, Banach algebras 
Pages 197208The 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 Yokois dinvariants 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 
Pages 209224Partial 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 pMetric Spaces with Some ﬁxed point Results on Mmetric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to Mmetric 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 Mmetric 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

Pages 225233HermiteHadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, HermiteHadamard inequalities for Bconvex and B−1convex functions are proven.Keywords: Hermite, Hadamard Inequality, B, convex functions, B?1, convex functions, abstract convexity

Pages 235244In 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

Pages 245260In 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

Pages 261267In this paper, we present some reﬁnements of the famous Young type inequality. As application of our result, we obtain some matrix inequalities for the HilbertSchmidt 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) 1217].Keywords: Young inequality, Hilbert, Schmidt norm, Positive semidenite matrices, Renements

Pages 269289In 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

Pages 291299Online 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 pretrained 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

Pages 301314This 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

Pages 315329In this paper, we present some ﬁxed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered bmetric 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

Pages 331336In this note, we give some estimate of the generalized quadrature formula of GaussJacobi
aη(b,a) Z a (x−a)p (a η (b,a)−x)q f (x)dx
in the cases where f and fλ for λ > 1, are spreinvex functions in the second sense.Keywords: integral inequality, s, preinvex function, Ho¨lder inequality, power mean inequality 
Pages 337351In 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

Pages 389404Let (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 complexvalued 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