International Journal of Nonlinear Analysis and ApplicationsInternational Journal of Nonlinear Analysis and Applications
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http://ijnaa.semnan.ac.ir/
Feed provided by International Journal of Nonlinear Analysis and Applications. Click to visit.A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant ...
http://ijnaa.semnan.ac.ir/article_375_42.html
By the method of weight coefficients, techniques of real analysis andHermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended Riemann-zeta function is proved.The more accurate equivalent forms, the operator expressions with the norm,the reverses and some particular cases are also considered.Wed, 02 Mar 2016 20:30:00 +0100Some functional inequalities in variable exponent spaces with a more generalization of uniform ...
http://ijnaa.semnan.ac.ir/article_439_42.html
‎Some functional inequalities‎ ‎in variable exponent Lebesgue spaces are presented‎. ‎The bi-weighted modular inequality with variable exponent $p(.)$ for the Hardy operator restricted to non‎- ‎increasing function which is‎‎$$‎‎int_0^infty (frac{1}{x}int_0^x f(t)dt)^{p(x)}v(x)dxleq‎‎Cint_0^infty f(x)^{p(x)}u(x)dx‎,‎$$‎ ‎is studied‎. ‎We show that the exponent $p(.)$ for which these modular inequalities hold must have constant oscillation‎. ‎Also we study the boundedness of integral operator $Tf(x)=int K(x,y) f(x)dy$ on $L^{p(.)}$ when the variable exponent $p(.)$ satisfies some‎ ‎uniform continuity condition that is named $beta$-controller condition and so multiple interesting results which can be‎ ‎seen as a generalization of the same classical results in the constant exponent case‎, ‎derived‎.Fri, 19 Aug 2016 19:30:00 +0100Weak and $(-1)$-weak amenability of second dual of Banach algebras
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For a Banach algebra $A$, $A''$ is $(-1)$-Weakly amenable if $A'$is a Banach $A''$-bimodule and $H^1(A'',A')={0}$. In thispaper, among other things, we study the relationships betweenthe $(-1)$-Weakly amenability of $A''$ and the weak amenability of$A''$ or $A$. Moreover, we show that the second dual of every$C^ast$-algebra is $(-1)$-Weakly amenable.Tue, 31 May 2016 19:30:00 +0100Fixed Points for Chatterjea Contractions on a Metric Space with a Graph
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In this work‎, ‎we formulate Chatterjea contractions using graphs in metric spaces endowed with a graph ‎‎and‏ ‎‎‎‎investigate ‎the ‎existence‎ ‎of ‎fixed ‎points ‎for such mappings ‎under two different hypotheses‎. We also discuss the uniqueness of the fixed point. The given result is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.Tue, 31 May 2016 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 +0100Application of new basis functions for solving nonlinear stochastic differential equations
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This paper presents an approach for solving a nonlinear stochastic differential equations (NSDEs) using a new basis functions (NBFs). These functions and their operational matrices areused for representing matrix form of the NBFs. With using this method in combination with the collocation method, the NSDEs are reduced a stochastic nonlinear system of equations and unknowns. Then, the error analysis is proved. Finally, numerical examples illustrate applicability and accuracy of the presented method.Tue, 31 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 +0100( p,q)-Genuine Baskakov-Durrmeyer operators
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In the present article, we propose the $(p,q)$variant of genuine Baskakov Durrmeyer operators. We obtain moments and establish some directresults, which include weighted approximation and results in terms of modulus of continuity of second order.Sun, 03 Jul 2016 19:30:00 +0100Perfect 2-colorings of the Platonic graphs -
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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 +0100Coincidence point and common fixed point results via scalarization function
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The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. Next, we obtain cone $b$-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.Tue, 31 May 2016 19:30:00 +0100Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive ...
http://ijnaa.semnan.ac.ir/article_479_42.html
In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regularasymptotically nonexpansive mappings in a real reflexive Banach space with a uniformly G$hat{a}$teaux differentiable norm. Our result is applicable in $L_{p}(ell_{p})$ spaces,$1 < p <infty$ and consequently in sobolev spaces.Tue, 31 May 2016 19:30:00 +0100Product of derivations on C$^*$-algebras
http://ijnaa.semnan.ac.ir/article_451_42.html
Let $mathfrak{A}$ be an algebra. A linear mapping $delta:mathfrak{A}tomathfrak{A}$ is called a textit{derivation} if $delta(ab)=delta(a)b+adelta(b)$ for each $a,binmathfrak{A}$. Given two derivations $delta$ and $delta'$ on a $C^*$-algebra $mathfrak A$, we prove that there exists a derivation $Delta$ on $mathfrak A$ such that $deltadelta'=Delta^2$ if and only if either $delta'=0$ or $delta=sdelta'$ for some $sinmathbb{C}$.Sun, 15 Jan 2017 20:30:00 +0100Some drifts on posets and its application to fuzzy subalgebras
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In this paper, given a poset $(X,leq)$, we introduce some drifts on a groupoid $(X,*)$ with respect to $(X,leq)$, and we obtain several properties of these drifts related to the notion of $Bin(X)$. We discuss some connections between fuzzy subalgebras and upward drifts.Thu, 17 Nov 2016 20:30:00 +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 +0100The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules
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In this paper, we find explicit solution to the operator equation$TXS^* -SX^*T^*=A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when$T,S$ have closed ranges and $S$ is a self adjoint operator.Tue, 31 May 2016 19:30:00 +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 +0100Some inequalities in connection to relative orders of entire functions of several complex variables
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Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.Thu, 07 Jan 2016 20:30:00 +0100A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism
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Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(alpha, beta)-$derivation is additive.Tue, 31 May 2016 19:30:00 +0100Algebras defined by homomorphisms
http://ijnaa.semnan.ac.ir/article_456_42.html
Let $mathcal{R}$ be a commutative ring with identity, let $A$ and $B$ be two $mathcal{R}$-algebras and $varphi:Blongrightarrow A$ be an $mathcal{R}$-additive algebra homomorphism. We introduce a new algebra $Atimes_varphi B$, and give some basic properties of this algebra. Generalized $2$-cocycle derivations on $Atimes_varphi B$ are studied. Accordingly, $Atimes_varphi B$ is considered from the perspective of Banach algebras.Mon, 07 Nov 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 +0100On boundary value problems of higher order abstract fractional integro-differential equations
http://ijnaa.semnan.ac.ir/article_520_42.html
The aim of this paper is to establish the existence of solutions of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H"{o}lder inequality, Krasnoselskii's fixed point theorem and nonlinear alternative of Leray-Schauder type. Examples are exhibited to illustrate the main results.Wed, 28 Dec 2016 20:30:00 +0100Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with ...
http://ijnaa.semnan.ac.ir/article_2262_42.html
In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.Tue, 31 May 2016 19:30:00 +0100A necessary condition for multiple objective fractional programming
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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 +0100Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras
http://ijnaa.semnan.ac.ir/article_2263_42.html
Using fixed point method, we prove some new stability results for Lie $(alpha,beta,gamma)$-derivations and Lie $C^{ast}$-algebra homomorphisms on Lie $C^{ast}$-algebras associated with the Euler-Lagrange type additive functional equation begin{align*} sum^{n}_{j=1}f{bigg(-r_{j}x_{j}+sum_{1leq i leq n, ineq j}r_{i}x_{i}bigg)}+2sum^{n}_{i=1}r_{i}f(x_{i})=nf{bigg(sum^{n}_{i=1}r_{i}x_{i}bigg)} end{align*} where $r_{1},ldots,r_{n}in {mathbb{R}}$ are given and $r_{i},r_{j}neq 0$ for some $1leq i< jleq n$.Tue, 31 May 2016 19:30:00 +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 +0100Existence of solutions of infinite systems of integral equations in the Frechet spaces
http://ijnaa.semnan.ac.ir/article_2264_42.html
In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the Fr´echet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tychonoff fixed point theorem. Also, we present an example of nonlinear integral equations to show the efficiency of our results. Our results extend several comparable results obtained in the previous literature.Tue, 31 May 2016 19:30:00 +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 +0100Some common fixed point theorems for Gregus type mappings
http://ijnaa.semnan.ac.ir/article_2272_42.html
In this paper, sufficient conditions for the existence ofcommon fixed points for a compatible pair of self maps of Gregustype in the framework of convex metric spaces have been obtained.Also, established the existence of common fixed points for a pair ofcompatible mappings of type (B) and consequently for compatiblemappings of type (A). The proved results generalize and extend someof the well known results of the literature.Sun, 19 Feb 2017 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 +0100A contribution to approximate analytical evaluation of Fourier series via an Applied Analysis ...
http://ijnaa.semnan.ac.ir/article_2308_42.html
In the present paper, we shall attempt to make a contribution to approximate analytical evaluation of the harmonic decomposition of an arbitrary continuous function. The basic assumption is that the class of functions that we investigate here, except the verification of Dirichlet's principles, is concurrently able to be expanded in Taylor's representation, over a particular interval of their domain of definition. Thus, we shall take into account the simultaneous validity of these two properties over this interval, in order to obtain an alternative equivalent representation of the corresponding harmonic decomposition for this category of functions. In the sequel, we shall also implement this resultant formula in the investigation of turbulence spectrum of eddies according to known from literature Von Karman's formulation, making the additional assumption that during the evolution of such stochastic dynamic effects with respect to time, the occasional time-returning period can be actually supposed to tend to infinity.Tue, 31 May 2016 19:30:00 +0100Projected non-stationary simultaneous iterative methods
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In this paper, we study Projected non-stationary Simultaneous It-erative Reconstruction Techniques (P-SIRT). Based on algorithmic op-erators, convergence result are adjusted with Opial’s Theorem. The advantages of P-SIRT are demonstrated on examples taken from to-mographic imaging.Tue, 31 May 2016 19:30:00 +0100Random fractional functional differential equations
http://ijnaa.semnan.ac.ir/article_2309_42.html
In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.Tue, 31 May 2016 19:30:00 +0100Differential transform method for a a nonlinear system of differential equations arising in HIV ...
http://ijnaa.semnan.ac.ir/article_458_42.html
In this paper, differential transform method (DTM) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in HIV infections of cell. Intervals of validity of the solution will be extended by using Pade approximation. The results also will be compared with those results obtained by Runge-Kutta method. The technique is described and is illustrated with one numerical example. The numerical results shown that the reliability and efficiency of the method.Tue, 31 May 2016 19:30:00 +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 +0100Solutions and stability of variant of Van Vleck's and D'Alembert's functional equations
http://ijnaa.semnan.ac.ir/article_774_42.html
In this paper. (1) We determine the complex-valued solutions of the following variant of Van Vleck's functional equation $$int_{S}f(sigma(y)xt)dmu(t)-int_{S}f(xyt)dmu(t) = 2f(x)f(y), ;x,yin S,$$ where $S$ is a semigroup, $sigma$ is an involutive morphism of $S$, and $mu$ is a complex measure that is linear combinations of Dirac measures $(delta_{z_{i}})_{iin I}$, such that for all $iin I$, $z_{i}$ is contained in the center of $S$. (2) We determine the complex-valued continuous solutions of the following variant of d'Alembert's functional equation $$int_{S}f(xty)dupsilon(t)+int_{S}f(sigma(y)tx)dupsilon(t) = 2f(x)f(y), ;x,yin S,$$ where $S$ is a topological semigroup, $sigma$ is a continuous involutive automorphism of $S$, and $upsilon$ is a complex measure with compact support and which is $sigma$-invariant. (3) We prove the superstability theorems of the first functional equation.Wed, 14 Dec 2016 20:30:00 +0100Fractional dynamical systems: A fresh view on the local qualitative theorems
http://ijnaa.semnan.ac.ir/article_505_42.html
The aim of this work is to describe the qualitative behavior of the solution set of a givensystem of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. In order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. This is done by the extension of the local center manifold theorem, the stable manifold theorem and the Hartman-Grobman theorem to the scope of fractional differential systems. These latter two theorems establish that the qualitative behavior of the solution set of a nonlinear system of fractional differential equations near an equilibrium point is typically the same as the qualitative behavior of the solution set of the corresponding linearized system near the equilibrium point. Furthermore, we discuss the stability conditions for the equilibrium points of these systems. We point out that, the fractional derivative in these systems is in the Caputo sense.Tue, 31 May 2016 19:30:00 +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 +0100On Genuine Lupa\c{s}-Beta operators and Modulus of Continuity
http://ijnaa.semnan.ac.ir/article_2307_0.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.Thu, 16 Feb 2017 20:30:00 +0100Asymptotic behavior of a system of two difference equations of exponential form
http://ijnaa.semnan.ac.ir/article_2317_42.html
In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $E=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+by_n+cx_n} end{equation*} where $a, b, c, d$ are positive constants and the initial values $ x_0, y_0$ are positive real values.Sat, 07 Jan 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 +0100