@article {
author = {Nashine, Hemant and Kadelburg, Zoran},
title = {Existence of common best proximity points of generalized $S$-proximal contractions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {2},
pages = {1-8},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.859.1153},
abstract = {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.},
keywords = {common best proximity point,optimal approximate solution,proximally commuting mappings},
url = {https://ijnaa.semnan.ac.ir/article_2764.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2764_4a0f5785686f6c06e1cccf3bf040f1c4.pdf}
}
@article {
author = {Arefmanesh, Ali and Abbaszadeh, Mahmoud},
title = {On the natural stabilization of convection diffusion problems using LPIM meshless method},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {2},
pages = {9-22},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.466},
abstract = {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.},
keywords = {convection-diffusion problems,LPIM meshless method,natural stabilization,$p$-Version finite element method},
url = {https://ijnaa.semnan.ac.ir/article_466.html},
eprint = {https://ijnaa.semnan.ac.ir/article_466_bbb3a1fc16ee7db611610410e3835c9f.pdf}
}
@article {
author = {Ramezani, Maryam and Baghani, Hamid},
title = {Contractive gauge functions in strongly orthogonal metric spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {2},
pages = {23-28},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.452},
abstract = {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.},
keywords = {strongly orthogonal set,Fixed point,gauge function},
url = {https://ijnaa.semnan.ac.ir/article_452.html},
eprint = {https://ijnaa.semnan.ac.ir/article_452_2a1a25491ed3b19576dc43dcff80d39b.pdf}
}
@article {
author = {Alaeiyan, Mohammad Hadi and Karami, Hamed},
title = {Perfect $2$-colorings of the Platonic graphs},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {2},
pages = {29-35},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.455},
abstract = {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.},
keywords = {Perfect Coloring,Equitable Partition,Platonic Graph},
url = {https://ijnaa.semnan.ac.ir/article_455.html},
eprint = {https://ijnaa.semnan.ac.ir/article_455_b232654319dc2a0cb031bc04091ece3d.pdf}
}
@article {
author = {Mehdizadeh Khalsaraei, Mohammad},
title = {Nonstandard explicit third-order Runge-Kutta method with positivity property},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {2},
pages = {37-46},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.480},
abstract = {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.},
keywords = {Positivity,Initial value problems,Advection equation,Bergers' equation,Runge-Kutta methods},
url = {https://ijnaa.semnan.ac.ir/article_480.html},
eprint = {https://ijnaa.semnan.ac.ir/article_480_bfe54710147d214731391df012a6a25a.pdf}
}
@article {
author = {Sharahi, Esa and Peyghan, Esmaeil and Arcus, Constantin},
title = {Curvature collineations on Lie algebroid structure},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {2},
pages = {47-63},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.516},
abstract = {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.},
keywords = {Curvature collineation,Lie algebroid,Lie symmetry,projectable section,spray},
url = {https://ijnaa.semnan.ac.ir/article_516.html},
eprint = {https://ijnaa.semnan.ac.ir/article_516_59906f46ca9f8631db7aac16657b95ac.pdf}
}
@article {
author = {Najati, Abbas and Abdollahpour, Mohammad and Park, Choonkil},
title = {On the stability of linear differential equations of second order},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {2},
pages = {65-70},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1078.1226},
abstract = {The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation$$y''(x)+\alpha y'(x)+\beta y(x)=f(x)$$in general case, where $y\in C^2[a,b],$ $f\in C[a,b]$ and $-\infty0$, the $\|f\|_{q}$ is defined as follows\begin{align*}\begin{split}&\left\|f\right\|_q:=\left\{\frac{1}{2\pi}\int_0^{2\pi}\left|f(e^{i\theta})\right|^qd\theta\right\}^{1/q},\\ \ 00$,\begin{align*}\left\|p'\right\|_{q}\leq \frac{n}{\|k+z\|_q}\|p\|_{q}.\end{align*}In this paper, we shall present an interesting generalization and refinement of this result which include some previous results.},
keywords = {Derivative,Polynomial,$L^q$ Inequality,Maximum modulus,Restricted Zeros},
url = {https://ijnaa.semnan.ac.ir/article_2801.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2801_1533fb6d1e1801bc30789ab8dc04255b.pdf}
}
@article {
author = {Muna, Abu Alhalawa and Saleh, Mohammad},
title = {Dynamics of higher order rational difference equation $x_{n+1}=(\alpha+\beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {2},
pages = {363-379},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.10822.1526},
abstract = {The main goal of this paper is to investigate the periodic character, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation$$x_{n+1}=\frac{\alpha+\beta x_{n}}{A + Bx_{n}+ Cx_{n-k}},~~ n=0,1,2,\ldots,$$where the parameters $\alpha$, $\beta$, $A$, $B$ and $C$ are positive, and the initial conditions $x_{-k},x_{-k+1},\ldots,x_{-1},x_{0}$ are positive real numbers and $k\in\{1,2,3,\ldots\}$. 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].},
keywords = {stability theory,semi-cycle analysis,invariant intervals,nonlinear difference equations,discrete dynamical systems},
url = {https://ijnaa.semnan.ac.ir/article_2794.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2794_5faa22d45bfb19c931f7a566b1d51774.pdf}
}