International Journal of Nonlinear Analysis and ApplicationsInternational Journal of Nonlinear Analysis and Applications
http://ijnaa.semnan.ac.ir/
Fri, 26 May 2017 07:47:21 +0100FeedCreatorInternational Journal of Nonlinear Analysis and Applications
http://ijnaa.semnan.ac.ir/
Feed provided by International Journal of Nonlinear Analysis and Applications. Click to visit.Quadratic $alpha$-functional equations
http://ijnaa.semnan.ac.ir/article_2351_316.html
In this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-Archimedean number with $alpha^{-2}neq 3$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic $alpha$-functional equation (0.1) in non-Archimedean Banach spaces.Fri, 31 Mar 2017 19:30:00 +0100The operators over the GIFS
http://ijnaa.semnan.ac.ir/article_2402_316.html
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.Fri, 31 Mar 2017 19:30:00 +0100On genuine Lupa\c{s}-Beta operators and modulus of continuity
http://ijnaa.semnan.ac.ir/article_2307_316.html
In the present article we discuss approximation properties of genuine Lupac{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.Sat, 29 Apr 2017 19:30:00 +0100Contractive gauge functions in strongly orthogonal metric spaces
http://ijnaa.semnan.ac.ir/article_452_0.html
‎Existence of fixed point in orthogonal metric spaces has been‎‎initiated recently by Eshaghi and et.al‎. ‎(see cite{1})‎. ‎In this‎‎paper‎, ‎we introduced the notion of the strongly orthogonal sets and‎‎proved a genuine generalization of Banach' fixed point theorem‎,‎Walter's theorem cite{7} and cite{1}‎. ‎Also‎, ‎we give an example‎‎shows that our main theorem is a real generalization of these fixed‎‎point theorems‎.Sun, 29 May 2016 19:30:00 +0100Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered ...
http://ijnaa.semnan.ac.ir/article_453_0.html
In this paper, we present some fixed and coincidence point theorems for hybrid rationalGeraghty contractive mappings in partially ordered $b$-metric spaces. Also, we derive certain coincidencepoint results for such contractions. An illustrative example is provided here to highlight our findings.Tue, 07 Jun 2016 19:30:00 +0100Perfect 2-colorings of the Platonic graphs -
http://ijnaa.semnan.ac.ir/article_455_0.html
In this paper, we enumerate the parameter matrices of all perfect 2-colorings of the Platonic graphs consisting of the tetrahedral graph, the cubical graph, the octahedral graph, the dodecahedral graph, and the icosahedral graph.Fri, 12 Aug 2016 19:30:00 +0100On the Natural Stabilization of Convection Diffusion Problems Using LPIM Meshless Method
http://ijnaa.semnan.ac.ir/article_466_0.html
By using the finite element p-version in convection-diffusion problems we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element p-version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshless methods. Hence, in this study the concept of the finite element p-version is applied in the LPIM meshfree method. The results prove that increasing degrees of freedom limits artificial numerical oscillations occurred in very large Peclet numbers.Sat, 24 Sep 2016 20:30:00 +0100A common fixed point theorem for mappings satisfying (y,j)-weak contractions satisfying ...
http://ijnaa.semnan.ac.ir/article_468_0.html
The aim of this paper is to prove some common fixed point theorems for four mappings satisfying $(psi,varphi)$-weak contractions involving rational expressions in ordered partial metric spaces. Our results extend, generalize and improve some well-known results in the literature. Also, we give two examples to illustrate our results.Thu, 06 Oct 2016 20:30:00 +0100Nonstandard explicit third-order Runge-Kutta method with positivity property
http://ijnaa.semnan.ac.ir/article_480_0.html
When one solves differential equations, modeling physical phenomena, it is of great importance to take physical constraints into account. More precisely, numerical schemes have to be designed such that discrete solutions satisfy the same constraints as exact solutions. Based on general theory for positivity cite{willem}, with an explicit third-orderRunge-Kutta method (we will refer to it as RK3 method) positivity is not ensured when applied to the inhomogeneous linear systems and the same result is regained on nonlinear positivity for this method. Here we mean by positivity that the nonnegativity of the components of the initial vector is preserved. Nonstandard finite differences (NSFDs) schemes can improve the accuracy and reduce computational costs of traditional finite difference schemes. In addition NSFDs produce numerical solutions which also exhibit essential properties of solution. In this paper, we investigate the positivity property for nonstandard RK3 method when applied to the numerical solution of special nonlinear initial value problems (IVPs) for ordinary differential equations (ODEs). We obtain new results for positivity which are important in practical applications. We provide some numerical examples to illustrate our results.Thu, 27 Oct 2016 20:30:00 +0100A necessary condition for multiple objective fractional programming
http://ijnaa.semnan.ac.ir/article_482_0.html
In this paper, we establish a proof for a necessary condition for multiple objective fractional programming. In order to derive the set of necessary conditions, we employ an equivalent parametric problem. Also, we present the related semi parametric model.Thu, 27 Oct 2016 20:30:00 +0100Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
http://ijnaa.semnan.ac.ir/article_483_0.html
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.Thu, 27 Oct 2016 20:30:00 +0100Study on efficiency of the Adomian decomposition method for stochastic differential equations
http://ijnaa.semnan.ac.ir/article_484_0.html
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.Thu, 27 Oct 2016 20:30:00 +0100The Structure of Ideals, Point Derivations, Amenability and Weak Amenability of Extended ...
http://ijnaa.semnan.ac.ir/article_493_0.html
Let $(X,d)$ be a compact metric space and let $K$ be a nonempty compact subset of $X$. Let $alpha in (0, 1]$ and let ${rm Lip}(X,K,d^ alpha)$ denote the Banach algebra of all continuous complex-valued functions $f$ on $X$ for which $p_{(K,d^alpha)}(f)=sup{frac{|f(x)-f(y)|}{d^alpha(x,y)} : x,yin K , xneq y}$||f||_{{rm Lip}(X, K, d^ {alpha})}= ||f||_X+ p_{(K,d^{alpha})}(f)$, where $||f||_X=sup{|f(x)|:~xin X }$. In this paper we first study the structure of certain ideals of ${rm Lip}(X,K,d^alpha)$. Next we show that if $K$ is infinite and ${rm int}(K)$ contains a limit point of $K$ then ${rm Lip}(X,K,d^alpha)$ has at least a nonzero continuous point derivation and applying this fact we prove that ${rm Lip}(X,K,d^alpha)$ is not weakly amenable and amenable.Tue, 15 Nov 2016 20:30:00 +0100Uncertainty in Linear Fractional Transportation Problem
http://ijnaa.semnan.ac.ir/article_504_0.html
In this paper, we study the linear fractional transportation problem with uncertain arameters. 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 compaired.Wed, 07 Dec 2016 20:30:00 +0100Curvature Collineations on Lie algebroid structure
http://ijnaa.semnan.ac.ir/article_516_0.html
Considering prolongation of a Lie algebroid equipped with a spray, defining some classical tensors, we show that a Lie symmetry of a spray is a curvature collineation for these tensors.Fri, 30 Dec 2016 20:30:00 +0100Coupled Coincidence Point and Common Coupled Fixed Point Theorems in Complex Valued Metric Spaces
http://ijnaa.semnan.ac.ir/article_521_0.html
In this paper, we introduce the concept of w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are followed by corresponding unique coupled common fixed point theorems for such mappings. Some illustrative examples are also given to sub- stantiate our newly proved results.Fri, 13 Jan 2017 20:30:00 +0100Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed ...
http://ijnaa.semnan.ac.ir/article_2296_0.html
In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.Sun, 12 Feb 2017 20:30:00 +0100A common fixed point theorem via measure of noncompactness
http://ijnaa.semnan.ac.ir/article_2318_0.html
In this paper by applying the measure of noncompactness a common fixed point for the maps $T$ and $S$ is obtained, where $T$ and $S$ are self maps continuous or commuting continuous on a closed convex subset $C$ of a Banach space $E$ and also $S$ is a linear map.Mon, 20 Feb 2017 20:30:00 +0100The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces
http://ijnaa.semnan.ac.ir/article_2348_0.html
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.Fri, 07 Apr 2017 19:30:00 +0100Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations
http://ijnaa.semnan.ac.ir/article_2349_0.html
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.Fri, 07 Apr 2017 19:30:00 +0100Some results on coupled fixed point and fixed point theory in partially ordered probabilistic ...
http://ijnaa.semnan.ac.ir/article_2350_0.html
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).Fri, 07 Apr 2017 19:30:00 +0100Some properties of analytic functions related with bounded positive real part
http://ijnaa.semnan.ac.ir/article_2397_0.html
In this paper, we define new subclasses of analytic functions with bounded positive real part and we investigate estimate of coefficient, duality and neighborhood for this classes.Sat, 22 Apr 2017 19:30:00 +0100Stability for certain subclasses of harmonic univalent functions
http://ijnaa.semnan.ac.ir/article_2405_316.html
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.Thu, 04 May 2017 19:30:00 +0100