International Journal of Nonlinear Analysis and ApplicationsInternational Journal of Nonlinear Analysis and Applications
http://ijnaa.semnan.ac.ir/
Sat, 21 Oct 2017 22:31:16 +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 +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 +0100Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
http://ijnaa.semnan.ac.ir/article_483_316.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.Fri, 31 Mar 2017 19:30:00 +0100Study on efficiency of the Adomian decomposition method for stochastic differential equations
http://ijnaa.semnan.ac.ir/article_484_316.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.Fri, 31 Mar 2017 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 +0100A spline collocation method for integrating a class of chemical reactor equations
http://ijnaa.semnan.ac.ir/article_2495_316.html
. 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.Sun, 04 Jun 2017 19:30:00 +0100Uncertainty in linear fractional transportation problem
http://ijnaa.semnan.ac.ir/article_504_316.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.Sun, 09 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_316.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.Sun, 04 Jun 2017 19:30:00 +0100The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces
http://ijnaa.semnan.ac.ir/article_2348_316.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.Sun, 04 Jun 2017 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 +0100Convergence of trajectories in infinite horizon optimization
http://ijnaa.semnan.ac.ir/article_2496_316.html
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.Mon, 05 Jun 2017 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 results on coupled fixed point and fixed point theory in partially ordered probabilistic ...
http://ijnaa.semnan.ac.ir/article_2350_316.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, 31 Mar 2017 19:30:00 +0100On the metric triangle inequality
http://ijnaa.semnan.ac.ir/article_2497_316.html
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 T$_{1}$-separated and generally, non-Hausdorff.Fri, 31 Mar 2017 19:30:00 +0100Existence results for equilibrium problems under strong sign property
http://ijnaa.semnan.ac.ir/article_2498_316.html
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 $mu$-quasimonotone equilibrium problems in the literature.Fri, 31 Mar 2017 19:30:00 +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 +0100Unsteady free convection oscillatory couette flow through a variable porous medium with ...
http://ijnaa.semnan.ac.ir/article_2499_316.html
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.Mon, 05 Jun 2017 19:30:00 +0100Almost n-Multiplicative Maps between Frechet Algebras
http://ijnaa.semnan.ac.ir/article_2500_316.html
For the Fr'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n in mathbb{N}$, $ngeq 2$, a linear map $T:A rightarrow B$ is called textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $varepsilongeq 0$ such that$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$for each $kin mathbb{N}$ and $a_1, a_2, ldots, a_nin A$. The linear map $T$ is called textit{weakly almost $n$-multiplicative}, if there exists $varepsilongeq 0$ such that for every $kin mathbb{N}$ there exists $n(k)in mathbb{N}$ with$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_{n(k)}(a_1) p_{n(k)}(a_2)cdots p_{n(k)}(a_n),$$for each $k in mathbb{N}$ and $a_1, a_2, ldots, a_nin A$.The linear map $T$ is called $n$-multiplicative if$$Ta_{1}a_{2} cdots a_{n} = Ta_{1} Ta_{2} cdots Ta_{n},$$for every $a_{1}, a_{2},ldots, a_{n} in A$.In this paper, we investigate automatic continuity of (weakly) almost $n$-multiplicative maps between certain classes of Fr'{e}chet algebras, including Banach algebras. We show that if $(A, (p_k))$ is a Fr'{e}chet algebra and $T: A rightarrow mathbb{C}$ is a weakly almost $n$-multiplicative linear functional, then either $T$ is $n$-multiplicative, or it is continuous. Moreover, if $(A, (p_k))$ and $(B, (q_k))$ are Fr'{e}chet algebras and $T:A rightarrow B$ is a continuous linear map, then under certain conditions $T$ is weakly almost $n$-multiplicative for each $ngeq 2$. In particular, every continuous linear functional on $A$ is weakly almost $n$-multiplicative for each $ngeq 2$.Mon, 05 Jun 2017 19:30:00 +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 +0100On the real quadratic fields with certain continued fraction expansions and fundamental units
http://ijnaa.semnan.ac.ir/article_2570_316.html
The purpose of this paper is to investigate the real quadratic number fields $Q(sqrt{d})$ which contain the specific form of the continued fractions expansions of integral basis element where $dequiv 2,3( mod 4)$ is a square free positive integer. Besides, the present paper deals with determining the fundamental unit$$epsilon _{d}=left(t_d+u_dsqrt{d}right) 2left.right > 1$$and $n_d$ and $m_d$ Yokoi's $d$-invariants by reference to continued fraction expansion of integral basis element where $ell left({d}right)$ is a period length. Moreover, we mention class number for such fields. Also, we give some numerical results concluded in the tables.Fri, 23 Jun 2017 19:30:00 +0100$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces
http://ijnaa.semnan.ac.ir/article_2502_316.html
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 {it 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 $F(psi,varphi)$-contractions and investigate the existence and uniqueness of fixed points for the new class $mathcal{C}$ 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.Mon, 05 Jun 2017 19:30:00 +0100Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions
http://ijnaa.semnan.ac.ir/article_2503_316.html
Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions are proven.Fri, 31 Mar 2017 19:30:00 +0100Some properties of analytic functions related with bounded positive real part
http://ijnaa.semnan.ac.ir/article_2397_316.html
In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.Tue, 06 Jun 2017 19:30:00 +0100Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
http://ijnaa.semnan.ac.ir/article_2504_316.html
In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $Delta$-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.Wed, 07 Jun 2017 19:30:00 +0100A note on the Young type inequalities
http://ijnaa.semnan.ac.ir/article_2506_316.html
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].Sat, 10 Jun 2017 19:30:00 +0100An inexact alternating direction method with SQP regularization for the structured variational ...
http://ijnaa.semnan.ac.ir/article_2509_316.html
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.Fri, 31 Mar 2017 19:30:00 +0100Similarity measurement for describe user images in social media
http://ijnaa.semnan.ac.ir/article_2510_316.html
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.Sun, 11 Jun 2017 19:30:00 +0100Periodic boundary value problems for controlled nonlinear impulsive evolution equations on ...
http://ijnaa.semnan.ac.ir/article_2511_316.html
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.Sun, 11 Jun 2017 19:30:00 +0100Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered ...
http://ijnaa.semnan.ac.ir/article_453_316.html
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.Sun, 11 Jun 2017 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 +0100New integral inequalities for $s$-preinvex functions
http://ijnaa.semnan.ac.ir/article_2513_316.html
In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi$$underset{a}{overset{a+eta left( b,aright) }{int }}left( x-aright)^{p}left( a+eta left( b,aright) -xright) ^{q}fleft( xright) dx$$in the cases where $f$ and $left| fright| ^{lambda }$ for $lambda >1$, are $s$-preinvex functions in the second sense.Mon, 12 Jun 2017 19:30:00 +0100Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
http://ijnaa.semnan.ac.ir/article_2516_316.html
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.Mon, 12 Jun 2017 19:30:00 +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 +0100On new faster fixed point iterative schemes for contraction operators and comparison of their ...
http://ijnaa.semnan.ac.ir/article_2523_316.html
In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.Mon, 12 Jun 2017 19:30:00 +0100The structure of ideals, point derivations, amenability and weak amenability of extended ...
http://ijnaa.semnan.ac.ir/article_493_316.html
Let $(X,d)$ be a compactmetric 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$$p_{(K,d^alpha)}(f)=sup{frac{|f(x)-f(y)|}{d^alpha(x,y)} : x,yin K , xneq y}<infty$$when it is equipped with the algebra norm $||f||_{{rm Lip}(X, K, d^ {alpha})}= ||f||_X+ p_{(K,d^{alpha})}(f)$, 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.Fri, 31 Mar 2017 19:30:00 +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 +0100