International Journal of Nonlinear Analysis and ApplicationsInternational Journal of Nonlinear Analysis and Applications
http://ijnaa.semnan.ac.ir/
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http://ijnaa.semnan.ac.ir/
Feed provided by International Journal of Nonlinear Analysis and Applications. Click to visit.Existence of common best proximity points of generalized $S$-proximal contractions
http://ijnaa.semnan.ac.ir/article_2764_316.html
In this article, we introduce a new notion of proximal contraction, named as generalized S-proximal contraction and derive a common best proximity point theorem for proximally commuting non-self mappings, thereby yielding the common optimal approximate solution of some fixed point equations when there is no common solution. We furnish illustrative examples to highlight our results. We extend some results existing in the literature.Thu, 30 Nov 2017 20:30:00 +0100On the natural stabilization of convection diffusion problems using LPIM meshless method
http://ijnaa.semnan.ac.ir/article_466_316.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.Wed, 06 Dec 2017 20:30:00 +0100Contractive gauge functions in strongly orthogonal metric spaces
http://ijnaa.semnan.ac.ir/article_452_316.html
Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theorem is a real generalization of these fixed point theorems.Sat, 02 Dec 2017 20:30:00 +0100Perfect $2$-colorings of the Platonic graphs
http://ijnaa.semnan.ac.ir/article_455_316.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.Sun, 03 Dec 2017 20:30:00 +0100Nonstandard explicit third-order Runge-Kutta method with positivity property
http://ijnaa.semnan.ac.ir/article_480_316.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, with an explicit third-order Runge-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 to 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, 30 Nov 2017 20:30:00 +0100Curvature collineations on Lie algebroid structure
http://ijnaa.semnan.ac.ir/article_516_316.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.Thu, 30 Nov 2017 20:30:00 +0100On the stability of linear differential equations of second order
http://ijnaa.semnan.ac.ir/article_2768_316.html
The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$ $fin C[a,b]$ and $-infty<a<b<+infty$. The result of this paper improves a result of Li and Shen [textit{Hyers-Ulam stability of linear differential equations of second order,} Appl. Math. Lett. 23 (2010) 306--309].Tue, 05 Dec 2017 20:30:00 +0100Soft double fuzzy semi-topogenous structures
http://ijnaa.semnan.ac.ir/article_2788_316.html
The purpose of this paper is to introduce the concept of soft double fuzzy semi-topogenous order. Firstly, we give the definition of soft double fuzzy semi-topogenous order. Secondly, we induce a soft double fuzzy topology from a given soft double fuzzy semi-topogenous order by using soft double fuzzy interior operator.Thu, 30 Nov 2017 20:30:00 +0100Interpolation of fuzzy data by using flat end fuzzy splines
http://ijnaa.semnan.ac.ir/article_2765_316.html
In this paper, a new set of spline functions called ``Flat End Fuzzy Spline" is defined to interpolate given fuzzy data. Some important theorems on these splines together with their existence and uniqueness properties are discussed. Then numerical examples are presented to illustrate the differences between of using our spline and other interpolations that have been studied before.Thu, 30 Nov 2017 20:30:00 +0100Translation invariant mappings on KPC-hypergroups
http://ijnaa.semnan.ac.ir/article_2785_316.html
In this paper, we give an extension of the Wendel's theorem on KPC-hypergroups. We also show that every translation invariant mapping is corresponding with a unique positive measure on the KPC-hypergroup.Thu, 30 Nov 2017 20:30:00 +0100Some new Ostrowski type fractional integral inequalities for generalized ...
http://ijnaa.semnan.ac.ir/article_2790_316.html
In the present paper, the notion of generalized $(r;g,s,m,varphi)$-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo $k$-fractional derivatives. At the end, some applications to special means are given.Thu, 30 Nov 2017 20:30:00 +0100Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution
http://ijnaa.semnan.ac.ir/article_2792_316.html
In this paper, a generalized mathematical model of spread of infectious disease as SIRS epidemic model is considered as a nonlinear system of differential equation. We prove that for positive initial conditions the resulting equivalence system has positive solution and under some hypothesis, this system with initial positive condition, has a positive $T$-periodic solution which is globally asymptotically stable. For numerical simulations the fourth order Runge-Kutta method is applied to the nonlinear system of differential equations.Thu, 30 Nov 2017 20:30:00 +0100Modified degenerate Carlitz's $q$-bernoulli polynomials and numbers with weight ($\alpha ,\beta $)
http://ijnaa.semnan.ac.ir/article_2791_316.html
The main goal of the present paper is to construct some families of the Carlitz's $q$-Bernoulli polynomials and numbers. We firstly introduce the modified Carlitz's $q$-Bernoulli polynomials and numbers with weight ($_{p}$. We then define the modified degenerate Carlitz's $q$-Bernoulli polynomials and numbers with weight ($alpha ,beta $) and obtain some recurrence relations and other identities. Moreover, we derive some correlations with the modified Carlitz's $q$-Bernoulli polynomials with weight ($alpha ,beta $), the modified degenerate Carlitz's $q$-Bernoulli polynomials with weight ($alpha ,beta $), the Stirling numbers of the first kind and second kind.Thu, 30 Nov 2017 20:30:00 +0100Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces
http://ijnaa.semnan.ac.ir/article_521_316.html
In this paper, we introduce the concept of a 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 following by corresponding unique coupled common fixed point theorems for such mappings. Some illustrative examples are also given to substantiate our newly proved results.Thu, 30 Nov 2017 20:30:00 +0100Global attractor for a nonlocal hyperbolic problem on ${\mathcal{R}}^{N}$
http://ijnaa.semnan.ac.ir/article_2793_316.html
We consider the quasilinear Kirchhoff's problem$$ u_{tt}-phi (x)||nabla u(t)||^{2}Delta u+f(u)=0 ,;; x in {mathcal{R}}^{N}, ;; t geq 0,$$with the initial conditions $ u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1 (x)$, in the case where $N geq 3, ; f(u)=|u|^{a}u$ and $(phi (x))^{-1} in L^{N/2}({mathcal{R}}^{N})cap L^{infty}({mathcal{R}}^{N} )$ is a positive function. The purpose of our work is to study the long time behaviour of the solution of this equation. Here, we prove the existence of a global attractor for this equation in the strong topology of the space ${cal X}_{1}=:{cal D}^{1,2}({mathcal{R}}^{N}) times L^{2}_{g}({mathcal{R}}^{N}).$ We succeed to extend some of our earlier results concerning the asymptotic behaviour of the solution of the problem.Thu, 30 Nov 2017 20:30:00 +0100Computational method based on triangular operational matrices for solving nonlinear stochastic ...
http://ijnaa.semnan.ac.ir/article_2783_316.html
In this article, a new numerical method based on triangular functions for solving nonlinear stochastic differential equations is presented. For this, the stochastic operational matrix of triangular functions for It^{o} integral are determined. Computation of presented method is very simple and attractive. In addition, convergence analysis and numerical examples that illustrate accuracy and efficiency of the method are presented.Thu, 30 Nov 2017 20:30:00 +0100On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators
http://ijnaa.semnan.ac.ir/article_2789_316.html
In the present article, we introduce Chlodowsky variant of $(p,q)$-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function $f$ belongs to the class Lip$_{M}(alpha )$. Moreover, we also discuss convergence and rate of approximation in weighted spaces and weighted statistical approximation properties of the sequence of positive linear operators defined by us.Thu, 30 Nov 2017 20:30:00 +0100A necessary condition for multiple objective fractional programming
http://ijnaa.semnan.ac.ir/article_482_316.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, 30 Nov 2017 20:30:00 +0100On generalized Hermite-Hadamard inequality for generalized convex function
http://ijnaa.semnan.ac.ir/article_2797_316.html
In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.Thu, 30 Nov 2017 20:30:00 +0100Analytical aspects of the interval unilateral quadratic matrix equations and their united ...
http://ijnaa.semnan.ac.ir/article_2796_316.html
This paper introduces the emph{interval unilateral quadratic matrix equation}, $IUQe$ and attempts to find various analytical results on its AE-solution sets in which $A,B$ and $CCC$ are known real interval matrices, while $X$ is an unknown matrix. These results are derived from a generalization of some results of Shary. We also give sufficient conditions for non-emptiness of some quasi-solution sets, provided that $A$ is regular. As the most common case, the united solution set has been studied and two direct methods for computing an outer estimation and an inner estimation of the united solution set of an interval unilateral quadratic matrix equation are proposed. The suggested techniques are based on nonlinear programming as well as sensitivity analysis.Tue, 19 Dec 2017 20:30:00 +0100On exponential domination and graph operations
http://ijnaa.semnan.ac.ir/article_2767_316.html
An exponential dominating set of graph $G = (V,E )$ is a subset $Ssubseteq V(G)$ such that $sum_{uin S}(1/2)^{overline{d}{(u,v)-1}}geq 1$ for every vertex $v$ in $V(G)-S$, where $overline{d}(u,v)$ is the distance between vertices $u in S$ and $v in V(G)-S$ in the graph $G -(S-{u})$. The exponential domination number, $gamma_{e}(G)$, is the smallest cardinality of an exponential dominating set. Graph operations are important methods for constructing new graphs, and they play key roles in the design and analysis of networks. In this study, we consider the exponential domination number of graph operations including edge corona, neighborhood corona and power.Thu, 30 Nov 2017 20:30:00 +0100$(\varphi_1, \varphi_2)$-variational principle
http://ijnaa.semnan.ac.ir/article_2766_316.html
In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm, such that $f + g $ attains its strong minimum on $X. $ This result extends some of the well-known varitional principles as that of Ekeland [On the variational principle, J. Math. Anal. Appl. 47 (1974) 323--353], that of Borwein-Preiss [A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions, Trans. Amer. Math. Soc. 303 (1987) 517--527] and that of Deville-Godefroy-Zizler [Un principe variationel utilisant des fonctions bosses, C. R. Acad. Sci. (Paris). Ser.I 312 (1991) 281--286] and [A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions, J. Funct. Anal. 111 (1993) 197--212].Thu, 21 Dec 2017 20:30:00 +0100Existence and uniqueness of the solution for a general system of operator equations in ...
http://ijnaa.semnan.ac.ir/article_2800_316.html
The purpose of this paper is to present some coupled fixed point results on a metric space endowed with two $b$-metrics. We shall apply a fixed point theorem for an appropriate operator on the Cartesian product of the given spaces endowed with directed graphs. Data dependence, well-posedness and Ulam-Hyers stability are also studied. The results obtained here will be applied to prove the existence and uniqueness of the solution for a system of integral equations.Fri, 22 Dec 2017 20:30:00 +0100Application of fractional-order Bernoulli functions for solving fractional Riccati differential ...
http://ijnaa.semnan.ac.ir/article_2795_316.html
In this paper, a new numerical method for solving the fractional Riccati differential equation is presented. The fractional derivatives are described in the Caputo sense. The method is based upon fractional-order Bernoulli functions approximations. First, the fractional-order Bernoulli functions and their properties are presented. Then, an operational matrix of fractional order integration is derived and is utilized to reduce the under study problem to a system of algebraic equations. Error analysis included the residual error estimation and the upper bound of the absolute errors are introduced for this method. The technique and the error analysis are applied to some problems to demonstrate the validity and applicability of our method.Thu, 30 Nov 2017 20:30:00 +0100On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces
http://ijnaa.semnan.ac.ir/article_2799_316.html
In this paper, we prove some fixed points properties and demiclosedness principle for a Banach operator in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a fixed point of a Banach operator and establish some strong and $Delta$-convergence theorems for such operator in the frame work of uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results on uniformly convex Banach spaces, CAT(0) spaces and many other results in this direction.Thu, 30 Nov 2017 20:30:00 +0100Some common fixed point theorems for four $(\psi,\varphi)$-weakly contractive mappings ...
http://ijnaa.semnan.ac.ir/article_468_316.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.Mon, 25 Dec 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 +0100Dynamic system of strategic games
http://ijnaa.semnan.ac.ir/article_2706_0.html
Maybe an event can't be modeled completely through one game but there is more chance with several games. With emphasis on players' rationality, we present new properties of strategic games, which result in production of other games. Here, a new attitude to modeling will be presented in game theory as dynamic system of strategic games and its some applications such as analysis of the clash between the United States and Iran in Iraq will be provided. In this system with emphasis on playersâ€™ rationality, the relationship between strategic games and explicitly the dynamics present in interactions among players will be examined. In addition, we introduce a new game called trickery game. This game shows a good reason for the cunning of some people in everyday life. Cooperation is a hallmark of human society. In many cases, our study provides a mechanism to move towards cooperation between players.Sun, 22 Oct 2017 20:30:00 +0100Mazur-Ulam theorem in probabilistic normed groups
http://ijnaa.semnan.ac.ir/article_2786_316.html
In this paper, we give a probabilistic counterpart of Mazur-Ulam theorem in probabilistic normed groups. We show, under some conditions, that every surjective isometry between two probabilistic normed groups is a homomorphism.Thu, 30 Nov 2017 20:30:00 +0100Fixed point theorems for generalized quasi-contractions in cone $b$-metric spaces over Banach ...
http://ijnaa.semnan.ac.ir/article_2787_316.html
In this paper, we introduce the concept of generalized quasi-contractions in the setting of cone $b$-metric spaces over Banach algebras. By omitting the assumption of normality we establish common fixed point theorems for the generalized quasi-contractions with the spectral radius $r(lambda)$ of the quasi-contractive constant vector $lambda$ satisfying $r(lambda)in [0,frac{1}{s})$ in the setting of cone $b$-metric spaces over Banach algebras, where the coefficient $s$ satisfies $sge 1$. As consequences, we obtain common fixed point theorems for the generalized $g$-quasi-contractions in the setting of such spaces. The main results generalize, extend and unify several well-known comparable results in the literature. Moreover, we apply our main results to some nonlinear equations, which shows that these results are more general than corresponding ones in the setting of $b$-metric or metric spaces.Thu, 30 Nov 2017 20:30:00 +0100L$^q$ inequalities for the ${s^{th}}$ derivative of a polynomial
http://ijnaa.semnan.ac.ir/article_2801_316.html
Let $f(z)$ be an analytic function on the unit disk ${zinmathbb{C}, |z|leq 1}$, for each $q>0$, the $|f|_{q}$ is defined as followsbegin{align*}begin{split}&left|fright|_q:=left{frac{1}{2pi}int_0^{2pi}left|f(e^{itheta})right|^qdthetaright}^{1/q}, 0<q<infty,\&left|fright|_{infty}:=max_{|z|=1}left|f(z)right|.end{split}end{align*} Govil and Rahman [{it Functions of exponential type not vanishing in a half-plane and related polynomials}, { Trans. Amer. Math. Soc.} {137} (1969) 501--517] proved that if $p(z)$ is a polynomial of degree $n$, which does not vanish in $|z|<k$, where $kgeq 1$, then for each $q>0$,begin{align*}left|p'right|_{q}leq frac{n}{|k+z|_q}|p|_{q}.end{align*}In this paper, we shall present an interesting generalization and refinement of this result which include some previous results.Thu, 30 Nov 2017 20:30:00 +0100Dynamics of higher order rational difference equation $x_{n+1}=(\alpha+\beta x_{n})/(A + ...
http://ijnaa.semnan.ac.ir/article_2794_316.html
The main goal of this paper is to investigate the periodic character, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation$$x_{n+1}=frac{alpha+beta x_{n}}{A + Bx_{n}+ Cx_{n-k}},~~ n=0,1,2,ldots,$$where the parameters $alpha$, $beta$, $A$, $B$ and $C$ are positive, and the initial conditions $x_{-k},x_{-k+1},ldots,x_{-1},x_{0}$ are positive real numbers and $kin{1,2,3,ldots}$. We give a detailed description of the semi-cycles of solutions and determine conditions under which the equilibrium points are globally asymptotically stable. In particular, our paper is a generalization of the rational difference equation that was investigated by Kulenovic et al. [The Dynamics of $x_{n+1}=frac{alpha +beta x_{n}}{A+Bx_{n}+ C x_{n-1}}$, Facts and Conjectures, Comput. Math. Appl. 45 (2003) 1087--1099].Thu, 30 Nov 2017 20:30:00 +0100