Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 11 Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables 1 14 288 10.22075/ijnaa.2016.288 EN Dibyendu Banerjee Department of Mathematics, Visva-Bharati, Santiniketan- 731235, India Nilkanta Mondal Ballavpur R.G.S.Vidyapith, Ballavpur-713323, Raniganj, India Journal Article 2014 11 11 In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of its partial derivative. https://ijnaa.semnan.ac.ir/article_288_5d4b6ff0b04ebc85198867c84f85d85c.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2015 12 11 On the quadratic support of strongly convex functions 15 20 273 10.22075/ijnaa.2015.273 EN S. Abbaszadeh Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran M Eshaghi Gordji Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran Journal Article 2013 12 11 In this paper, we first introduce the notion of \$c\$-affine functions for \$c> 0\$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is \$c\$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown. https://ijnaa.semnan.ac.ir/article_273_368395c1469c8c8c42fa81b1d2a2a883.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2015 12 10 Nonexpansive mappings on complex C*-algebras and their fixed points 21 29 289 10.22075/ijnaa.2015.289 EN Davood Alimohammadi Department of Mathematics, Faculty of Science, Arak university, Arak 38156-8-8349, Iran Journal Article 2015 06 07 A normed space \$mathfrak{X}\$ is said to have the fixed point property, if for each nonexpansive mapping \$T : E longrightarrow E \$ on a nonempty bounded closed convex subset \$ E \$ of \$ mathfrak{X} \$ has a fixed point. In this <br />paper, we first show that if \$ X \$ is a locally compact Hausdorff space then the following are equivalent: (i) \$X\$ is infinite set, (ii) \$C_0(X)\$ is infinite dimensional, (iii) \$C_0 (X)\$ does not have the fixed point property. We also show that if \$A\$ is a commutative complex \$ mathsf{C}^star\$--algebra with nonempty carrier space, then the following statements are equivalent: (i) Carrier space of \$ A \$ is infinite, (ii) \$ A \$ is infinite dimensional, (iii) \$ A \$ does not have the fixed point property. Moreover, we show that if \$ A \$ is an infinite complex \$ mathsf{C}^star\$--algebra (not necessarily commutative), then \$ A \$ does not have the fixed point property. https://ijnaa.semnan.ac.ir/article_289_75ca5b7bd96a777bf6f51352b152a680.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 01 21 On the fine spectrum of generalized upper triangular double-band matrices \$Delta^{uv}\$ over the sequence spaces \$c_o\$ and \$c\$ 31 43 290 10.22075/ijnaa.2015.290 EN Javad Fathi Department of Mathematic, Faculty of Science, Hormozgan University, Bandarabbas, Iran Journal Article 2013 11 08 The main purpose of this paper is to determine the fine spectrum of the generalized upper triangular double-band matrices uv over the sequence spaces c0 and c. These results are more general than the spectrum of upper triangular double-band matrices of Karakaya and Altun[V. Karakaya, M. Altun, Fine spectra of upper triangular doubleband matrices, Journal of Computational and Applied Mathematics, 234(2010) 1387-1394]. https://ijnaa.semnan.ac.ir/article_290_35d0cd244cf09dff6eaf8a53cd56341d.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 01 27 Common fixed point theorem for nonexpansive type single valued mappings 45 51 293 10.22075/ijnaa.2015.293 EN Pankaj Kumar Jhade NRI Institute of Information Science & Technology, Bhopal, MP, INDIA-462021 A S Saluja J H Govt. PG College, Betul India-460001 Journal Article 2013 10 13 The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of nonexpansive type multivalued and single valued maps, European J. Pure Appl. Math., 4 (2011) 330-339]. https://ijnaa.semnan.ac.ir/article_293_565f06624c411fcd198bd19c2a9d1e4a.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 01 Some fixed point theorems for weakly subsequentially continuous and compatible of type (E) mappings with an application 53 62 294 10.22075/ijnaa.2015.294 EN Said Beloul University of Eloued (Algeria) Journal Article 2014 10 10 In this paper, we will establish some xed point results for two pairs of self mappings satisfying generalized contractive condition by using a new concept as weak subsequential continuity with compatibility of type (E) in metric spaces, as an application the existence of unique common solution for a system of functional equations arising in system programming is proved. https://ijnaa.semnan.ac.ir/article_294_616d183be61dda4a9cc57edf91853d69.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 04 Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach 63 75 295 10.22075/ijnaa.2015.295 EN Sattar Alizadeh Marand Branch, Islamic Azad University, Fridoun Moradlou Department of Mathematics, Sahand University of Technology, Tabriz, Iran Journal Article 2014 10 10 Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces:<br />begin{equation}<br /> sum_{ j = 1}^{n}fBig(-2 x_{j} + sum_{ i = 1, ineq j}^{n} x_{i}Big) =<br />(n-6) fBig(sum_{ i = 1}^{n} x_{i}Big) + 9 sum_{ i = 1}^{n}<br />f(x_{i}).<br />end{equation} https://ijnaa.semnan.ac.ir/article_295_c27b0b230605db7769e5251a845fed26.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 18 On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications 77 85 296 10.22075/ijnaa.2015.296 EN Huseyin Budak Department of Mathematics, Faculty of Science and Arts, D\&quot;{u}zce University, D\&quot;{u}zce-Turkey Mehmet Sarikaya Department of Mathematics, Faculty of Science and Arts, D\&quot;{u}zce University, D\&quot;{u}zce-Turkey Journal Article 2014 11 21 In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given. https://ijnaa.semnan.ac.ir/article_296_24c7771b70f4d911a2cd1e8f6b47c36b.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 27 Generalized solution of Sine-Gordon equation 87 92 297 10.22075/ijnaa.2015.297 EN Lalla Saadia Chadli Sultan Moulay Slimane University Said Melliani Sultan Moulay Slimane University Abdelaziz Moujahid Sultan Moulay Slimane University Mhamed Elomari Sultan Moulay Slimane University Journal Article 2014 03 17 In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution. https://ijnaa.semnan.ac.ir/article_297_7593898e083c1954e8404529bfff0844.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 03 01 Titchmarsh theorem for Jacobi Dini-Lipshitz functions 93 101 298 10.22075/ijnaa.2015.298 EN Mustapha Boujeddaine Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d&#039;Analyse Harmonique et Probabilites, Universite Moulay Ismal, BP 11201 Zitoune, Meknes, Morocco Said Fahlaoui Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d&#039;Analyse Harmonique et Probabilites, Universite Moulay Ismal, BP 11201 Zitoune, Meknes, Morocco Radouan Daher Department of Mathematics, Faculty of Sciences An Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco Journal Article 2014 10 02 Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space \$mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})\$, \$(1< pleq 2)\$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lipschitz condition in \$L^{p}\$. https://ijnaa.semnan.ac.ir/article_298_98bc5a10d20c0d2f6d2e2df1b9b479f4.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2015 12 16 Some new results using Hadamard fractional integral 103 109 299 10.22075/ijnaa.2015.299 EN Sabrina Taf Department of Mathematic, Faculty SEI, UMAB University of Mostaganem, Algeria Kamel Brahim Faculty of science of Tunis, Tunisia Journal Article 2014 04 12 Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. The purpose of this work is to use Hadamard fractional integral to establish some new integral inequalities of Gruss type by using one or two parameters which ensues four main results . Furthermore, other integral inequalities of reverse Minkowski's type are obtained for positive functions resulting in two theorems. https://ijnaa.semnan.ac.ir/article_299_8f090a9047f90a63156afc736973f47f.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2015 11 17 Some common fixed point theorems for four \$(psi,varphi)\$-weakly contractive mappings satisfying rational expressions in ordered partial metric spaces 111 130 300 10.22075/ijnaa.2015.300 EN R.A. Rashwan Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt S.M. Saleh Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt Journal Article 2013 07 09 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. https://ijnaa.semnan.ac.ir/article_300_ee2c2f17e0cefae6067c770ab7ee52a6.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 01 07 A determinant inequality and log-majorisation for operators 131 140 301 10.22075/ijnaa.2015.301 EN Seyed Mahmoud Manjegani Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111 Journal Article 2015 03 10 ‎Let \$lambda_1,dots,lambda_n\$  be positive real numbers such that \$sum_{k=1}^n lambda_k=1\$. In this paper, we prove that for any positive operators \$a_1,a_2,ldots, a_n\$ in semifinite von Neumann algebra \$M\$ with faithful normal trace that \$t(1)<infty\$, \$\$prod_{k=1}^n(det a_k)^{lambda_k},le,det (sum_{k=1}^n lambda_k a_k),\$\$<br />where \$det a=exp(int_0^{t(1)} mu_a(t),dt)\$. If furthermore \$t(a_i)<infty\$ for every \$1le ile n\$ and \$ prod_{k=1}^n(det a_k)^{lambda_k}neq 0\$,<br /> then equality holds if and only if \$a_1=a_2=cdots =a_n\$. A log-majorisation version of Young inequality are given as well. https://ijnaa.semnan.ac.ir/article_301_f16f986333a145f2dd7a7128e1029da9.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2015 11 01 On the \$s^{th}\$ derivative of a polynomial 141 145 130 10.22075/ijnaa.2015.130 EN Abdullah Mir Department of Mathematics, University of Kashmir, Srinagar, \$190006\$, (India) Journal Article 2013 10 24 For every \$1leq s< n\$, the \$s^{th}\$ derivative of a polynomial \$P(z)\$ of degree \$n\$ is a polynomial \$P^{(s)}(z)\$ whose degree is \$(n-s)\$. This paper presents a result which gives generalizations of some inequalities regarding the \$s^{th}\$ derivative of a polynomial having zeros outside a circle. Besides, our result gives interesting refinements of some well-known results. https://ijnaa.semnan.ac.ir/article_130_55c76fca4b5e4d033c72d893fe0a47b7.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 01 15 Vector ultrametric spaces and a fixed point theorem for correspondences 147 153 302 10.22075/ijnaa.2015.302 EN Kourosh Nourouzi Faculty of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran Journal Article 2014 11 30 In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces. https://ijnaa.semnan.ac.ir/article_302_8a23d5e13714c2c3f04be5ce3ed78c8c.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2015 11 30 Variational inequalities on Hilbert \$C^*\$-modules 155 165 303 10.22075/ijnaa.2015.303 EN Hedayat Fathi Department of Mathematics, Shahid Beheshti University, Tehran, Iran S.A.R. Hosseinioun Department of Mathematics, Shahid Beheshti University, Tehran, Iran; Department of Mathematics, University of Arkansas, Fayetteville, Arkansas 72701, USA Journal Article 2014 12 08 We introduce variational inequality problems on Hilbert \$C^*\$-modules and we prove several existence results for variational inequalities defined on closed convex sets. Then relation between variational inequalities, \$C^*\$-valued metric projection and fixed point theory  on  Hilbert \$C^*\$-modules is studied. https://ijnaa.semnan.ac.ir/article_303_379b7e5db0cd9d58ab8583a7f784939c.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 03 19 Approximately generalized additive functions in several variables via fixed point method 167 181 304 10.22075/ijnaa.2015.304 EN R. Farokhzad Rostami Department of Mathematics, Gonbad Kavous University, Gonbad Kavous, Golestan, Iran S.A.R. Hoseinioun Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA Journal Article 2014 10 14 In this paper, we obtain the general solution and the generalized   Hyers-Ulam-Rassias stability in random normed spaces, in non-Archimedean spaces and also in \$p\$-Banach spaces and finally the stability via fixed point method for a functional equation<br />begin{align*}<br />&D_f(x_{1},.., x_{m}):= sum^{m}_{k=2}(sum^{k}_{i_{1}=2}<br />sum^{k+1}_{i_{2}=i_{1}+1}... sum^{m}_{i_{m-k+1}=i_{m-k}+1})<br /> f(sum^{m}_{i=1, ineq i_{1},...,i_{m-k+1} }<br /> x_{i}-sum^{m-k+1}_{ r=1} x_{i_{r}})\& hspace {2.8cm}+f(sum^{m}_{ i=1} x_{i})<br />-2^{m-1} f(x_{1})=0<br />end{align*}<br />where \$m geq 2\$ is an integer number. https://ijnaa.semnan.ac.ir/article_304_9d50c3cecad33f485b18a635d7221af3.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 06 Coupled coincidence point in ordered cone metric spaces with examples in game theory 183 194 305 10.22075/ijnaa.2015.305 EN Alireza Naeimi Sadigh Department of Mathematics, Statistics and Computer science, Semnan University, P.O. Box 35195-363, Semnan, Iran Samaneh Ghods Department of Mathematics, Islamic Azad University, Semnan Branch, Semnan, Iran Journal Article 2014 12 08 In this paper, we prove some coupled coincidence point theorems for mappings with the mixed monotone property and obtain the uniqueness of this coincidence point. Then we providing useful examples in Nash equilibrium. https://ijnaa.semnan.ac.ir/article_305_50df6bdc73b5dc783d4dfd0d2c6a6513.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 03 25 On a class of paracontact Riemannian manifold 195 205 306 10.22075/ijnaa.2015.306 EN Mahmood Parchetalab Department of Mathematics, Faculty of Science, Arak university, Arak 38156-8-8349, Iran Journal Article 2015 01 28 We classify the paracontact Riemannian manifolds that their Riemannian curvature satisfies in the certain condition and we show that this classification is hold for the special cases semi-symmetric and locally symmetric spaces. Finally we study paracontact Riemannian manifolds satisfying R(X, ξ).S = 0, where S is the Ricci tensor. https://ijnaa.semnan.ac.ir/article_306_7b5dec458ce15e057e2a3d1addca1f0b.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 26 Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method 207 218 307 10.22075/ijnaa.2015.307 EN Mohsen Rabbani Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran Journal Article 2014 12 03 ‎In this paper, we discuss about existence of solution for integro-differential system and then we solve it  by using the Petrov-Galerkin method. In the Petrov-Galerkin method choosing the trial and test space is important, so we use Alpert multi-wavelet as basis functions for these spaces. Orthonormality is one of the properties of Alpert multi-wavelet which helps us to reduce computations in the process of discretizing and we drive a system of algebraic equations with small dimension which it leads to approximate solution with high accuracy. We compare the results with similar works and it guarantees the validity and applicability of this method. https://ijnaa.semnan.ac.ir/article_307_74c3fcefd0d66fde79c657652f29cbcd.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 03 05 On fixed points of fundamentally nonexpansive mappings in Banach spaces 219 224 308 10.22075/ijnaa.2015.308 EN Mohammad Moosaei Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran Journal Article 2015 01 28 We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex. https://ijnaa.semnan.ac.ir/article_308_db07694ccc7a387cc590bac3f64bd749.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 12 Common fixed point of multivalued graph contraction in metric spaces 225 230 309 10.22075/ijnaa.2015.309 EN Masoud Hadian Dehkordi Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran Masoud Ghods Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran Journal Article 2014 11 30 In this paper, we introduce the (G-\$psi\$) contraction in a metric space by using a graph. Let \$F,T\$ be two multivalued mappings on \$X.\$ Among other things, we obtain a common fixed point of the mappings \$F,T\$ in the metric space \$X\$ endowed with a graph \$G.\$ https://ijnaa.semnan.ac.ir/article_309_2b668c7b7359b2f90973027b71b332c3.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 04 08 Dynamical behavior of a stage structured prey-predator model 231 241 311 10.22075/ijnaa.2015.311 EN Shashi Kant Department of Applied Mathematics, Delhi Technological University, Delhi 110042, India Vivek Kumar Department of Applied Mathematics, Delhi Technological University, Delhi 110042, India Journal Article 2015 01 08 In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to obtain the conditions for which our model exhibits stability around the possible equilibrium points. Besides this a rigorous global stability analysis has been performed for our proposed model by using Li and Muldowney approach (geometric approach). Global stability conditions for the proposed model are described in the form of theorem. This is not a case study, hence the real parameters are not available for this model. However, model may be simulated by using hypothetical set of parameters. Investigation of real parameters for the proposed model is an open problem. https://ijnaa.semnan.ac.ir/article_311_ea84e1c2cacf1562a1872a4dda1ad2b9.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 01 04 An analog of Titchmarsh's theorem for the Bessel transform in the space \$mathrm{L}_{p,alpha}(mathbb{R}_{+})\$ 243 248 312 10.22075/ijnaa.2015.312 EN Mohamed El Hamma Department of Mathematics, Faculty of Sciences A&quot;{i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco R. Daher Department of Mathematics, Faculty of Sciences A\&quot;{\i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco M. Boujeddaine Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d&#039;Analyse Harmonique et Probabilit\&#039;{e}s, Universit\&#039;{e} Moulay Isma\&quot;{\i}l. BP 11201 , Zitoune, Mekn\`{e}s, Morocco Journal Article 2014 05 23 Using a Bessel generalized translation, we obtain an analog of Titchmarsh's theorem for the Bessel transform for functions satisfying the Lipschitz condition in the space \$mathrm{L}_{p,alpha}(mathbb{R}_{+})\$, where \$alpha>-frac{1}{2}\$ and \$1<pleq 2\$. https://ijnaa.semnan.ac.ir/article_312_6d7a608b8b31cc91bf4c1e508fe5d3ab.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 04 08 On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel 249 269 323 10.22075/ijnaa.2015.323 EN Michael Th. Rassias Institute of Mathematics, University of Zurich, CH - 8057, Zurich, Switzerland \& Institute for Advanced Study, Program in Interdisciplinary Studies, 1 Einstein Dr, Princeton, NJ 08540, USA Bicheng Yang Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China Journal Article 2015 06 07 By the method of weight coefficients and techniques of real analysis, a Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. The equivalent forms, the operator expressions with the norm, the reverses and some particular examples are also considered. https://ijnaa.semnan.ac.ir/article_323_fdd0e926c44dc6c795dd27dfb4bef204.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 05 01 On the shadowing property of nonautonomous discrete systems 271 277 291 10.22075/ijnaa.2015.291 EN Hossein Rasuoli Young Researchers and Elite Club, Malayer Branch, Azad University, Malayer, Iran Journal Article 2014 10 13 In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. We investigate the relation of  weak contractions with shadowing and h-shadowing property. https://ijnaa.semnan.ac.ir/article_291_3a018c19284bae1aec6ba9b21f64092c.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 02 18 Regularized fractional derivatives in Colombeau algebra 279 287 147 10.22075/ijnaa.2015.147 EN Mohsen Alimohammady Department of Mathematics, University of Mazandaran, Babolsar, Iran Fariba Fattahi Amirdehi Department of mathematics, University of Mazandaran, babolsar, Iran Journal Article 2014 03 19 The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of  Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to a nonlinear heat equation illustrating the application of the theory. https://ijnaa.semnan.ac.ir/article_147_ab2bc88c6c15434692b835d36280d41a.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 04 28 Functionally closed sets and functionally convex sets in real Banach spaces 289 294 340 10.22075/ijnaa.2015.340 EN Madjid Eshaghi Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran Hamidreza Reisi Dezaki Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran Alireza Moazzen Kosar University of Bojnord, Bojnord, Iran Journal Article 2015 05 19 ‎Let \$X\$ be a real normed  space, then  \$C(subseteq X)\$  is  functionally  convex  (briefly, \$F\$-convex), if  \$T(C)subseteq Bbb R \$ is  convex for all bounded linear transformations \$Tin B(X,R)\$; and \$K(subseteq X)\$  is  functionally   closed (briefly, \$F\$-closed), if  \$T(K)subseteq Bbb R \$ is  closed  for all bounded linear transformations \$Tin B(X,R)\$. We improve the    Krein-Milman theorem  on finite dimensional spaces. We partially prove the Chebyshev 60 years old open problem. Finally, we introduce  the notion of functionally convex  functions. The function \$f\$ on \$X\$ is  functionally convex (briefly, \$F\$-convex) if epi \$f\$ is a \$F\$-convex subset of \$Xtimes mathbb{R}\$. We show that every  function \$f : (a,b)longrightarrow mathbb{R}\$ which has no  vertical asymptote is \$F\$-convex. https://ijnaa.semnan.ac.ir/article_340_0cfc0fd433839779402cad7c246e5cc6.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 04 04 On intermediate value theorem in ordered Banach spaces for noncompact and discontinuous mappings 295 300 341 10.22075/ijnaa.2015.341 EN Ali Farajzadeh Department of Mathematics, Razi University, Kermanshah Journal Article 2015 03 03 In this paper, a vector version of the intermediate value theorem is established. The main theorem of this article can be considered as an improvement of the main results have been appeared in [textit{On fixed point theorems for monotone increasing vector valued mappings via scalarizing}, Positivity, 19 (2) (2015) 333-340] with containing the uniqueness, convergent of each iteration to the fixed point, relaxation of the relatively compactness and the continuity on the map with replacing topological interior of the cone by the algebraic interior. Moreover, by applying Ascoli-Arzela's theorem an example  in order to show that the main theorem of the paper [textit{An intermediate value theorem for monotone operators in ordered Banach spaces}, Fixed point theory and applications, 2012 (1) (2012) 1-4] may fail, is established. https://ijnaa.semnan.ac.ir/article_341_ffd5a9c8d2472ec439f9cf564da35d43.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 06 01 Completely continuous Banach algebras 301 308 383 10.22075/ijnaa.2016.383 EN Bahman Hayati Department of Mathematics, Malayer University, P.O. Box 16846-13114, Malayer, Iran Journal Article 2015 04 17  For a Banach algebra \$fA\$, we introduce ~\$c.c(fA)\$, the set of all \$phiin fA^*\$ such that \$theta_phi:fAto  fA^*\$ is a completely continuous operator, where \$theta_phi\$ is defined by \$theta_phi(a)=acdotphi\$~~ for all \$ain fA\$. We call \$fA\$, a completely continuous Banach algebra if \$c.c(fA)=fA^*\$. We give some examples of completely continuous Banach algebras and a sufficient condition for an open problem raised for the first time by J.E Gal`{e}, T.J. Ransford and M. C. White: Is there exist an infinite dimensional amenable Banach algebra whose underlying Banach space is reflexive? We prove that a reflexive, amenable, completely continuous Banach algebra with the approximation property is trivial. https://ijnaa.semnan.ac.ir/article_383_3bb2ce040cb0b5b1b2133ec62d0d7465.pdf