Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Existence of common best proximity points of generalized \$S\$-proximal contractions 1 8 2764 10.22075/ijnaa.2017.859.1153 EN Hemant Nashine Department of Mathematics, Texas A \& M University-Kingsville-78363-8202, Texas, USA 0000-0002-0250-9172 Zoran Kadelburg University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia Journal Article 2015 07 25 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. http://ijnaa.semnan.ac.ir/article_2764_4a0f5785686f6c06e1cccf3bf040f1c4.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 07 On the natural stabilization of convection diffusion problems using LPIM meshless method 9 22 466 10.22075/ijnaa.2016.466 EN Ali Arefmanesh Department of Mechanical Engineering, University of Kashan, Kashan, Iran Mahmoud Abbaszadeh School of Engineering, University of Warwick, Coventry, United Kingdom Journal Article 2015 12 03 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. http://ijnaa.semnan.ac.ir/article_466_bbb3a1fc16ee7db611610410e3835c9f.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 03 Contractive gauge functions in strongly orthogonal metric spaces 23 28 452 10.22075/ijnaa.2016.452 EN Maryam Ramezani Department of Mathematics, Faculty of Mathematics, University of Bojnord, Bojnord, Iran Hamid Baghani Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran Journal Article 2015 11 07 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. http://ijnaa.semnan.ac.ir/article_452_2a1a25491ed3b19576dc43dcff80d39b.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 04 Perfect \$2\$-colorings of the Platonic graphs 29 35 455 10.22075/ijnaa.2016.455 EN Mohammad Hadi Alaeiyan School of Computer Engineering, Iran University of Science and Technology, Narmak, Tehran 16846, Iran Hamed Karami School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846, Iran Journal Article 2015 10 23 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. http://ijnaa.semnan.ac.ir/article_455_b232654319dc2a0cb031bc04091ece3d.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Nonstandard explicit third-order Runge-Kutta method with positivity property 37 46 480 10.22075/ijnaa.2016.480 EN Mohammad Mehdizadeh Khalsaraei Department of Mathematics, Faculty of Science, University of Maragheh, 55181-83111 Maragheh, Iran Journal Article 2014 12 09 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. http://ijnaa.semnan.ac.ir/article_480_bfe54710147d214731391df012a6a25a.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Curvature collineations on Lie algebroid structure 47 63 516 10.22075/ijnaa.2016.516 EN Esa Sharahi Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran Esmaeil Peyghan Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran Constantin Arcus Secondary School &quot;Cornelius Radu&quot;, Radinesti Village, 217196 Gorj County, Romania Journal Article 2015 12 16 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. http://ijnaa.semnan.ac.ir/article_516_59906f46ca9f8631db7aac16657b95ac.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 06 On the stability of linear differential equations of second order 65 70 2768 10.22075/ijnaa.2017.1078.1226 EN Abbas Najati Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran Mohammad Abdollahpour Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran Choonkil Park Department of Mathematics, Hanyang University, Seoul, 133--791, South Korea Journal Article 2015 12 21 The aim of this paper is to investigate the Hyers-Ulam stability of the  linear differential equation<br />\$\$y''(x)+alpha y'(x)+beta y(x)=f(x)\$\$<br />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]. http://ijnaa.semnan.ac.ir/article_2768_c56749cc1ab49441e4b381aa39b132e9.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Soft double fuzzy semi-topogenous structures 71 88 2788 10.22075/ijnaa.2017.1787.1469 EN A. Ghareeb Department of Mathematics, Colleges of Science, Al-Baha University, Al-Baha, Saudi Arabia Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt O.H. Khalil Department of Mathematics, College of Science in Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt Journal Article 2016 12 08 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. http://ijnaa.semnan.ac.ir/article_2788_42478fba2bdf9494bd980f7308e1f221.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Interpolation of fuzzy data by using flat end fuzzy splines 89 97 2765 10.22075/ijnaa.2017.1419.1363 EN Reza Ezzati Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran Saeid Abbasbandy Department of Applied Mathematics, Imam Khomeini International University, Qazvin, Iran Hossein Behforooz Department of Mathematics, Utica College, Utica, New York, 13502, USA Journal Article 2016 06 03 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. http://ijnaa.semnan.ac.ir/article_2765_d76b656bd725808a80f0451c76bd26b8.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Translation invariant mappings on KPC-hypergroups 99 107 2785 10.22075/ijnaa.2017.1365.1340 EN Seyyed Mohammad Tabatabaie Department of Mathematics, University of Qom, Qom, Iran null Faranak Haghighifar Department of Mathematics, University of Qom, Qom, Iran Journal Article 2016 04 30 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. http://ijnaa.semnan.ac.ir/article_2785_050eaa7a4eae270a339a107852a64608.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Some new Ostrowski type fractional integral inequalities for generalized \$(r;g,s,m,varphi)\$-preinvex functions via Caputo \$k\$-fractional derivatives 109 124 2790 10.22075/ijnaa.2017.11722.1585 EN Artion Kashuri Department of Mathematics, Faculty of Technical Science, University &quot;Ismail Qemali&quot;, 9400, Vlora, Albania Rozana Liko Department of Mathematics, Faculty of Technical Science, University &quot;Ismail Qemali&quot;, 9400, Vlora, Albania Journal Article 2017 06 21 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. http://ijnaa.semnan.ac.ir/article_2790_0b41c4fb5b26b287e9fc35c76b4ec926.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution 125 134 2792 10.22075/ijnaa.2017.11821.1592 EN Mehdi Nadjafikhah Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran Saeid Shagholi Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran Journal Article 2017 03 04 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. http://ijnaa.semnan.ac.ir/article_2792_035182d58bb9842edde0597201b211da.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Modified degenerate Carlitz's \$q\$-bernoulli polynomials and numbers with weight (\$alpha ,beta \$) 135 144 2791 10.22075/ijnaa.2017.11767.1588 EN Ugur Duran Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, Gaziantep, 27310, Turkey 0000-0002-5717-1199 Mehmet Acikgoz Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, Gaziantep, 27310, Turkey Journal Article 2017 06 27 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. http://ijnaa.semnan.ac.ir/article_2791_48a0eba5d8560ea93b810f1b3562b4eb.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces 145 158 521 10.22075/ijnaa.2017.521 EN Fayyaz Rouzkard Farhangian University, Shariati Pardis, Sari, Mazandaran Iran Mohammad Imdad Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India Journal Article 2015 11 24 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. http://ijnaa.semnan.ac.ir/article_521_2a61f222299a2c5adf3e26b8819aaa3a.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Global attractor for a nonlocal hyperbolic problem on \${mathcal{R}}^{N}\$ 159 168 2793 10.22075/ijnaa.2017.11600.1575 EN Perikles Papadopoulos Department of Electronics Engineering, School of Technological Applications, Piraeus University of Applied Sciences (Technological Education Institute of Piraeus), GR 11244, Egaleo, Athens, Greece N.L. Matiadou Department of Electronics Engineering, School of Technological Applications, Piraeus University of Applied Sciences (Technological Education Institute of Piraeus), GR 11244, Egaleo, Athens, Greece Journal Article 2017 06 09 We consider the quasilinear Kirchhoff's problem<br />\$\$ u_{tt}-phi (x)||nabla u(t)||^{2}Delta u+f(u)=0 ,;; x in {mathcal{R}}^{N}, ;; t geq 0,\$\$<br />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. http://ijnaa.semnan.ac.ir/article_2793_ef30a57e5aaa4eb687c61b37a80ea4d1.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Computational method based on triangular operational matrices for solving nonlinear stochastic differential equations 169 179 2783 10.22075/ijnaa.2017.1023.1198 EN Mahnaz Asgari Department of Engineering,~Abhar Branch,~Islamic Azad University, Abhar, Iran Morteza khodabin Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran Journal Article 2015 11 22 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. http://ijnaa.semnan.ac.ir/article_2783_c6fbfe31fd6236b020f1a1ec4c88ae52.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators 181 200 2789 10.22075/ijnaa.2017.1827.1479 EN Khursheed J. Ansari Department of Mathematics, College of Science, King Khalid University, 61413, Abha, Saudi Arabia Ali Karaisa Department of Mathematics-Computer Sciences, Faculty of Sciences, Necmettin Erbakan University Meram Campus, 42090 Meran, Konya, Turkey Journal Article 2016 12 27 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. http://ijnaa.semnan.ac.ir/article_2789_8c00a08033e702b77e6d822b3272f202.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 A necessary condition for multiple objective fractional programming 201 207 482 10.22075/ijnaa.2016.482 EN Rezvan Kamali Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran Ali Davari Department of Mathematics, Khansar Faculty of Mathematics and Computer Science, Khansar, Iran Journal Article 2015 01 19 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. http://ijnaa.semnan.ac.ir/article_482_73a53fecfb7bfc8a6778a60cabed4272.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 On generalized Hermite-Hadamard inequality for generalized convex function 209 222 2797 10.22075/ijnaa.2017.11313.1552 EN Mehmet Zeki Sarikaya Department of Mathematics, Faculty of Science and Arts, D\&quot;{u}zce University, D\&quot;{u}zce-Turkey Huseyin Budak Department of Mathematics, Faculty of Science and Arts, D\&quot;{u}zce University, D\&quot;{u}zce-Turkey Journal Article 2017 05 11 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. http://ijnaa.semnan.ac.ir/article_2797_fe30c34bcf477187700e2c4e5c003604.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 20 Analytical aspects of the interval unilateral quadratic matrix equations and their united solution sets 223 241 2796 10.22075/ijnaa.2017.10778.1523 EN Tayyebe Haqiri School of Mathematics and Computer Science, Damghan University, Damghan, Iran; Member of Young Researchers Society of Shahid Bahonar University of Kerman, Kerman, P.O. Box 76169-14111, Iran Azim Rivaz Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran Mahmoud Mohseni Moghadam Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran Journal Article 2017 03 07 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. http://ijnaa.semnan.ac.ir/article_2796_50bf006dbe46ff6c42b14348865a347c.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 On exponential domination and graph operations 243 250 2767 10.22075/ijnaa.2017.3056.1494 EN Betul Atay Department of Computer and Inst. Tech. Edu., Faculty of Education, Agri Ibrahim Cecen University, Agri, Turkey Aysun Aytac Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova-Izmir, Turkey Journal Article 2017 01 19 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. http://ijnaa.semnan.ac.ir/article_2767_30d3be476f5e7e4708605bbc92f6406d.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 22 \$(varphi_1, varphi_2)\$-variational principle 251 261 2766 10.22075/ijnaa.2017.1664.1439 EN Abdelhakim Maaden Universit\&#039;e Sultan Moulay Slimane, Facult\&#039;e des Sciences et Techniques, Laboratoire de Math\&#039;ematiques et Applications, B.P. 523, Beni-Mellal 23000, Maroc Stouti Abdelkader Universit\&#039;e Sultan Moulay Slimane, Facult\&#039;e des Sciences et Techniques, Laboratoire de Math\&#039;ematiques et Applications, B.P. 523, Beni-Mellal 23000, Maroc Journal Article 2016 10 13 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]. http://ijnaa.semnan.ac.ir/article_2766_da52f80c47f3aee56ce7052c87770f23.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 23 Existence and uniqueness of the solution for a general system of operator equations in \$b-\$metric spaces endowed with a graph 263 276 2800 10.22075/ijnaa.2017.11562.1570 EN Cristian Chifu Department of Business, Faculty of Business, Babes-Bolyai University, Cluj-Napoca, Romania Gabriela Petrusel Department of Business, Faculty of Business, Babes-Bolyai University, Cluj-Napoca, Romania Journal Article 2017 06 06 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. http://ijnaa.semnan.ac.ir/article_2800_62e25ec2b3418aa3f744b6478d9fbcde.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation 277 292 2795 10.22075/ijnaa.2017.1476.1379 EN Yadollah Ordokhani Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran Parisa Rahimkhani Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran National Elites Foundation, Tehran, Iran Esmail Babolian Department of Computer Science, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran Journal Article 2016 06 29 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. http://ijnaa.semnan.ac.ir/article_2795_3990006fa9915eb0af3345e8046f7bc8.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces 293 306 2799 10.22075/ijnaa.2017.11887.1594 EN Akindele Adebayo Mebawondu School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa Lateef Jolaoso School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa Hammed Abass School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa Journal Article 2017 07 09 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. http://ijnaa.semnan.ac.ir/article_2799_2ea33223c55fba3700f88bd7aefc3695.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 26 Some common fixed point theorems for four \$(psi,varphi)\$-weakly contractive mappings satisfying rational expressions in ordered partial metric spaces 307 326 468 10.22075/ijnaa.2016.468 EN Rashwan 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 30 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. http://ijnaa.semnan.ac.ir/article_468_a5b9c5cc09ff9b3a978f98266a1b155a.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Mazur-Ulam theorem in probabilistic normed groups 327 333 2786 10.22075/ijnaa.2017.1281.1318 EN Alireza Pourmoslemi Department of Mathematics, Payame Noor University, Tehran, Iran Kourosh Nourouzi Faculty of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran Journal Article 2016 03 23 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. http://ijnaa.semnan.ac.ir/article_2786_313d118769848a5d41636e321e9950d6.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Fixed point theorems for generalized quasi-contractions in cone \$b\$-metric spaces over Banach algebras without the assumption of normality with applications 335 353 2787 10.22075/ijnaa.2017.1857.1483 EN Shaoyuan Xu School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, 521041, China Suyu Cheng Library, Hanshan Normal University, Chaozhou, 521041, China Suzana Aleksic Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovi\&#039;ca 12, 34000 Kragujevac, Serbia Journal Article 2017 01 08 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. http://ijnaa.semnan.ac.ir/article_2787_c82fdf395409faa23840674b2855da21.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 L\$^q\$ inequalities for the \${s^{th}}\$ derivative of a polynomial 355 362 2801 10.22075/ijnaa.2017.1286.1321 EN Ahmad Zireh Department of Mathematics, Shahrood University of Technology, Shahrood, Iran Journal Article 2016 04 02 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 follows<br />begin{align*}<br />begin{split}<br />&left|fright|_q:=left{frac{1}{2pi}int_0^{2pi}left|f(e^{itheta})right|^qdthetaright}^{1/q},<br /> 0<q<infty,\<br />&left|fright|_{infty}:=max_{|z|=1}left|f(z)right|.<br />end{split}<br />end{align*}<br /> 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\$,<br />begin{align*}<br />left|p'right|_{q}leq frac{n}{|k+z|_q}|p|_{q}.<br />end{align*}<br />In this paper, we shall present an interesting generalization and refinement of this result which include some previous results. http://ijnaa.semnan.ac.ir/article_2801_1533fb6d1e1801bc30789ab8dc04255b.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 2 2017 12 01 Dynamics of higher order rational difference equation \$x_{n+1}=(alpha+beta x_{n})/(A + Bx_{n}+ Cx_{n-k})\$ 363 379 2794 10.22075/ijnaa.2017.10822.1526 EN Abu Alhalawa Muna Department of Mathematics, Faculty of Science, Birzeit University, Palestine Mohammad Saleh Department of Mathematics, Faculty of Science, Birzeit University, Palestine Journal Article 2017 03 11 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<br />\$\$x_{n+1}=frac{alpha+beta x_{n}}{A + Bx_{n}+ Cx_{n-k}},~~ n=0,1,2,ldots,\$\$<br />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]. http://ijnaa.semnan.ac.ir/article_2794_5faa22d45bfb19c931f7a566b1d51774.pdf