IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2016.288 Research Paper Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables Relative order and type of entire functions Banerjee Dibyendu Department of Mathematics, Visva-Bharati, Santiniketan- 731235, India Mondal Nilkanta Ballavpur R.G.S.Vidyapith, Ballavpur-713323, Raniganj, India 11 02 2016 7 1 1 14 11 11 2014 02 07 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_288.html

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.

Banach valued Dirichlet series relative order relative type Entire function
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.273 Research Paper On the quadratic support of strongly convex functions On the quadratic support of strongly convex functions Abbaszadeh S. Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran Eshaghi Gordji M Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran 11 12 2015 7 1 15 20 11 12 2013 27 06 2015 Copyright © 2015, Semnan University. 2015 https://ijnaa.semnan.ac.ir/article_273.html

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.

strongly convex function Hahn-Banach theorem \$c\$-affine functions quadratic support
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.289 Research Paper Nonexpansive mappings on complex C*-algebras and their fixed points Nonexpansive mappings on complex C*-algebras Alimohammadi Davood Department of Mathematics, Faculty of Science, Arak university, Arak 38156-8-8349, Iran 10 12 2015 7 1 21 29 07 06 2015 05 09 2015 Copyright © 2015, Semnan University. 2015 https://ijnaa.semnan.ac.ir/article_289.html

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 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.

Banach space C*-algebra Fixed point property Nonexpansive mapping normed linear space
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.290 Research Paper On the fine spectrum of generalized upper triangular double-band matrices \$Delta^{uv}\$ over the sequence spaces \$c_o\$ and \$c\$ On the fine spectrum of generalized upper Fathi Javad Department of Mathematic, Faculty of Science, Hormozgan University, Bandarabbas, Iran 21 01 2016 7 1 31 43 08 11 2013 11 06 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_290.html

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].

Spectrum of an operator matrix mapping sequence space
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.293 Research Paper Common fixed point theorem for nonexpansive type single valued mappings Common fixed point theorem Jhade Pankaj Kumar NRI Institute of Information Science & Technology, Bhopal, MP, INDIA-462021 Saluja A S J H Govt. PG College, Betul India-460001 27 01 2016 7 1 45 51 13 10 2013 23 06 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_293.html

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].

Nonexpansive mapping Common fixed point reciprocal continuous weak reciprocal continuous
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.294 Research Paper Some fixed point theorems for weakly subsequentially continuous and compatible of type (E) mappings with an application Some fixed point theorems for weakly subsequentially continuous Beloul Said University of Eloued (Algeria) 01 02 2016 7 1 53 62 10 10 2014 18 06 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_294.html

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.

generalized contractive condition weakly subsequentially continuous compatible of type (E) functional equation
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.295 Research Paper Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach Approximate a quadratic mapping in multi-Banach spaces Alizadeh Sattar Marand Branch, Islamic Azad University, Moradlou Fridoun Department of Mathematics, Sahand University of Technology, Tabriz, Iran 04 02 2016 7 1 63 75 10 10 2014 16 05 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_295.html

Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces:begin{equation} sum_{ j = 1}^{n}fBig(-2 x_{j} + sum_{ i = 1, ineq j}^{n} x_{i}Big) =(n-6) fBig(sum_{ i = 1}^{n} x_{i}Big) + 9 sum_{ i = 1}^{n}f(x_{i}).end{equation}

Fixed point method, Hyers-Ulam-Rassias stability Multi-Banach spaces, Quadratic mapping
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.296 Research Paper On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications On the generalization of Trapezoid Inequality Budak Huseyin Department of Mathematics, Faculty of Science and Arts, D\&quot;{u}zce University, D\&quot;{u}zce-Turkey Sarikaya Mehmet Department of Mathematics, Faculty of Science and Arts, D\&quot;{u}zce University, D\&quot;{u}zce-Turkey 18 02 2016 7 1 77 85 21 11 2014 05 06 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_296.html

In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.

Bounded Variation Ostrowski type inequalities Riemann-Stieltjes Trapezoid Inequality
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.297 Research Paper Generalized solution of Sine-Gordon equation Generalized solution of Sine-Gordon equation Chadli Lalla Saadia Sultan Moulay Slimane University Melliani Said Sultan Moulay Slimane University Moujahid Abdelaziz Sultan Moulay Slimane University Elomari Mhamed Sultan Moulay Slimane University 27 02 2016 7 1 87 92 17 03 2014 04 06 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_297.html

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.

Algebra Colombeau Generalized functions theory Sine-Gordon equation
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.298 Research Paper Titchmarsh theorem for Jacobi Dini-Lipshitz functions Titchmarsh theorem for Jacobi Dini-Lipshitz functions Boujeddaine Mustapha 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 Fahlaoui Said 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 Daher Radouan Department of Mathematics, Faculty of Sciences An Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco 01 03 2016 7 1 93 101 02 10 2014 27 06 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_298.html

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}\$.

Dini-Lipschitz functions Jacobi operator Jacobi transform
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.299 Research Paper Some new results using Hadamard fractional integral Some new results using Hadamard fractional integral Taf Sabrina Department of Mathematic, Faculty SEI, UMAB University of Mostaganem, Algeria Brahim Kamel Faculty of science of Tunis, Tunisia 16 12 2015 7 1 103 109 12 04 2014 04 06 2015 Copyright © 2015, Semnan University. 2015 https://ijnaa.semnan.ac.ir/article_299.html

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.

Hadamard fractional integral Fractional integral inequalities Minkowski&#039;s inequality
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.300 Research Paper Some common fixed point theorems for four \$(psi,varphi)\$-weakly contractive mappings satisfying rational expressions in ordered partial metric spaces Some common fixed point theorems Rashwan R.A. Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt Saleh S.M. Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt 17 11 2015 7 1 111 130 09 07 2013 08 07 2015 Copyright © 2015, Semnan University. 2015 https://ijnaa.semnan.ac.ir/article_300.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.

Common fixed point rational contractions ordered partial metric spaces dominating and dominated mappings
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.301 Research Paper A determinant inequality and log-majorisation for operators A determinant inequality and log-majorisation for operators Manjegani Seyed Mahmoud Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111 07 01 2016 7 1 131 140 10 03 2015 30 07 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_301.html

‎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),\$\$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\$, 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.

‎Singular values‎ ‎Semifinite trace‎ ‎Majorisation‎ ‎log-majorisation
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.130 Research Paper On the \$s^{th}\$ derivative of a polynomial On the \$s^{th}\$ derivative of a polynomial Mir Abdullah Department of Mathematics, University of Kashmir, Srinagar, \$190006\$, (India) 01 11 2015 7 1 141 145 24 10 2013 17 07 2015 Copyright © 2015, Semnan University. 2015 https://ijnaa.semnan.ac.ir/article_130.html

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.

Polynomial Zeros \$s^{th}\$ derivative
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.302 Research Paper Vector ultrametric spaces and a fixed point theorem for correspondences Vector ultrametric spaces and a fixed point theorem Nourouzi Kourosh Faculty of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran 15 01 2016 7 1 147 153 30 11 2014 06 10 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_302.html

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.

Vector ultra metric space Correspondence Fixed point
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.303 Research Paper Variational inequalities on Hilbert \$C^*\$-modules Variational inequalities on Hilbert \$C^*\$-modules Fathi Hedayat Department of Mathematics, Shahid Beheshti University, Tehran, Iran Hosseinioun S.A.R. Department of Mathematics, Shahid Beheshti University, Tehran, Iran; Department of Mathematics, University of Arkansas, Fayetteville, Arkansas 72701, USA 30 11 2015 7 1 155 165 08 12 2014 04 08 2015 Copyright © 2015, Semnan University. 2015 https://ijnaa.semnan.ac.ir/article_303.html

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.

variational inequality Hilbert \$C^*\$-module metric projection Fixed point
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.304 unavailable Approximately generalized additive functions in several variables via fixed point method Approximately generalized additive functions Farokhzad Rostami R. Department of Mathematics, Gonbad Kavous University, Gonbad Kavous, Golestan, Iran Hoseinioun S.A.R. Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA 19 03 2016 7 1 167 181 14 10 2014 03 09 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_304.html

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 equationbegin{align*}&D_f(x_{1},.., x_{m}):= sum^{m}_{k=2}(sum^{k}_{i_{1}=2}sum^{k+1}_{i_{2}=i_{1}+1}... sum^{m}_{i_{m-k+1}=i_{m-k}+1}) f(sum^{m}_{i=1, ineq i_{1},...,i_{m-k+1} } x_{i}-sum^{m-k+1}_{ r=1} x_{i_{r}})\& hspace {2.8cm}+f(sum^{m}_{ i=1} x_{i})-2^{m-1} f(x_{1})=0end{align*}where \$m geq 2\$ is an integer number.

Additive function \$p\$-Banach spaces Random normed spaces Non-Archimedean spaces Fixed point method generalized Hyers-Ulam stability
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.305 Research Paper Coupled coincidence point in ordered cone metric spaces with examples in game theory Coupled coincidence point in ordered cone metric spaces Naeimi Sadigh Alireza Department of Mathematics, Statistics and Computer science, Semnan University, P.O. Box 35195-363, Semnan, Iran Ghods Samaneh Department of Mathematics, Islamic Azad University, Semnan Branch, Semnan, Iran 06 02 2016 7 1 183 194 08 12 2014 19 08 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_305.html

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.

Coupled fixed point Coupled coincidence Fixed point Partially ordered sets Cone metric space game theory Nash equilibrium
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.306 Research Paper On a class of paracontact Riemannian manifold On a class of paracontact Riemannian manifold Parchetalab Mahmood Department of Mathematics, Faculty of Science, Arak university, Arak 38156-8-8349, Iran 25 03 2016 7 1 195 205 28 01 2015 16 09 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_306.html

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.

paracontact structure Einstein structure parasasakian
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.307 Research Paper Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method Existence of solution and solving the integro-differential Rabbani Mohsen Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran 26 02 2016 7 1 207 218 03 12 2014 28 09 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_307.html

‎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.

System of Integro-differential equations Multi-wavelet Petrov-Galerkin Regular pairs Trial space Test space
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.308 Research Paper On fixed points of fundamentally nonexpansive mappings in Banach spaces On fixed points of fundamentally nonexpansive mappings Moosaei Mohammad Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran 05 03 2016 7 1 219 224 28 01 2015 04 09 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_308.html

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.

Fixed point fundamentally nonexpansive mappings nonexpansive mappings Opial's condition uniformly convex Banach spaces
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.309 Research Paper Common fixed point of multivalued graph contraction in metric spaces Common fixed point of multivalued graph contraction Hadian Dehkordi Masoud Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran Ghods Masoud Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran 12 02 2016 7 1 225 230 30 11 2014 23 10 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_309.html

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.\$

Fixed point multivalued common(G-\$psi\$) contraction directed graph
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.311 Research Paper Dynamical behavior of a stage structured prey-predator model Dynamical behavior of a stage structured prey-predator model Kant Shashi Department of Applied Mathematics, Delhi Technological University, Delhi 110042, India Kumar Vivek Department of Applied Mathematics, Delhi Technological University, Delhi 110042, India 08 04 2016 7 1 231 241 08 01 2015 28 09 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_311.html

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.

Stage Structured Population Global Stability Local Stability
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.312 Research Paper An analog of Titchmarsh's theorem for the Bessel transform in the space \$mathrm{L}_{p,alpha}(mathbb{R}_{+})\$ An analog of Titchmarsh's theorem for the Bessel transform El Hamma Mohamed Department of Mathematics, Faculty of Sciences A&quot;{i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco Daher R. Department of Mathematics, Faculty of Sciences A\&quot;{\i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco Boujeddaine M. 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 04 01 2016 7 1 243 248 23 05 2014 05 10 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_312.html

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\$.

Bessel operator Bessel transform Bessel generalized translation
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.323 Research Paper On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel Rassias Michael Th. 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 Yang Bicheng Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China 08 04 2016 7 1 249 269 07 06 2015 26 11 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_323.html

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.

Hardy-Hilbert-type inequality, weight coefficient, equivalent form, reverse operator
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.291 Research Paper On the shadowing property of nonautonomous discrete systems On the shadowing property of nonautonomous discrete systems Rasuoli Hossein Young Researchers and Elite Club, Malayer Branch, Azad University, Malayer, Iran 01 05 2016 7 1 271 277 13 10 2014 09 09 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_291.html

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.

Nonautonomous discrete system nonautonomos difference equation shadowing property
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.147 Research Paper Regularized fractional derivatives in Colombeau algebra Regularized fractional derivatives in Colombeau algebra Alimohammady Mohsen Department of Mathematics, University of Mazandaran, Babolsar, Iran Fattahi Amirdehi Fariba Department of mathematics, University of Mazandaran, babolsar, Iran 18 02 2016 7 1 279 287 19 03 2014 25 10 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_147.html

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.

IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.340 Research Paper Functionally closed sets and functionally convex sets in real Banach spaces Functionally closed sets and functionally convex sets Eshaghi Madjid Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran Reisi Dezaki Hamidreza Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran Moazzen Alireza Kosar University of Bojnord, Bojnord, Iran 28 04 2016 7 1 289 294 19 05 2015 26 11 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_340.html

‎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.

‎Convex set Chebyshev set Krein-Milman theorem
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2015.341 Research Paper On intermediate value theorem in ordered Banach spaces for noncompact and discontinuous mappings On intermediate value theorem in ordered Banach spaces Farajzadeh Ali Department of Mathematics, Razi University, Kermanshah 04 04 2016 7 1 295 300 03 03 2015 30 11 2015 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_341.html

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.

intermediate value theorem Fixed point increasing mapping algebraic interior normal cone
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2016.383 Research Paper Completely continuous Banach algebras Completely continuous Banach algebras Hayati Bahman Department of Mathematics, Malayer University, P.O. Box 16846-13114, Malayer, Iran 01 06 2016 7 1 301 308 17 04 2015 09 03 2016 Copyright © 2016, Semnan University. 2016 https://ijnaa.semnan.ac.ir/article_383.html

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.

Amenability Completely continuous Banach algebra