Abstract: In this paper, the notion of compact neutrosophic soft metric space is introduced. The concept of neutrosophic soft function and the composition of functions in a neutrosophic soft metric space along with suitable examples also have been brought. The continuity and uniform continuity of a...
Abstract: The aim of this paper is to introduce and study the notions of $ \mathcal{G}_{\I^{*}}$-sets, $\mathcal{A}\mathcal{G}_{\I^{*}}$-sets and $ \mathcal{B}G_{\I^{*}}$-sets sets in ideal topological spaces. Properties of $ \mathcal{G}_{\I^{*}}$-sets, $\delta-C$-sets, $\mathcal{A}\mathcal{G}_{\I^{*}}$-sets, $ \mathcal{B}G_{\I^{*}}$-sets and $\mathcal{E}_{\I^{*}}$-open sets are investigated. Moreover, the relationships among these sets are investigated....
Abstract: In this paper we have considered a systems of ODEs of second order and have shown the existence of a non oscillating solution for such system. We have applied the fixed point technique to show that under certian conditions there exists at least one solution...
Abstract: The distance $d_G(u,v)$ between vertices $u$ and $v$ in $G$ is the length of a shortest $u-v$ path in $G$. The eccentricity of a vertex $v$ in $G$ is the integer $e_G(v)= \max\{ d_G(v,u) \colon u\in V_G\}$. The diameter of $G$ is the integer $d(G)=...
Abstract: In this paper, the concept of fuzzy sets with the fuzzy Baire property in fuzzy topological spaces is introduced and studied. Several characterizations of fuzzy sets with the fuzzy Baire property, are established. Keywords: Fuzzy dense set, fuzzy somewhere dense set,fuzzy nowhere dense set,fuzzy first category...
Abstract: The objective of this paper is to introduce a new class of sets $S_{\uptau_{ij}}$-$g^{*}$-closed sets and $S_{\uptau_{ij}}$-$g^{*}$-open sets in supra bitopological spaces and some properties of these sets are investigated. Also, two supra bitopological spaces $S_{\uptau_{ij}}$-$T_{1/2}^{*}$ and $S_{\uptau_{ij}}$-$T_{1/2}^{**}$-spaces are introduced. Keywords: Supra bitopology, $S_{\uptau_{ij}}$-$g^{*}$-closed sets, $S_{\uptau_{ij}}$-$g^{*}$-open...
Abstract: In this paper, we have investigated a nonlinear rational difference equation of higher order. Our concentration is on invariant intervals, periodic character, the character of semicycles and global asymptotic stability of all positive solutions of \begin{equation*} x_{n+1}=\dfrac{\alpha +\beta x_{n-k}}{A+Bx_{n-k}},\;\;\;n=0,1,..., \end{equation*} where the parameters $\alpha $,...
Abstract: In this paper, we proved some fixed point theorems of contraction mappings in cone $b$-metric spaces. Keywords: Fixed point,Cone Metric Spaces, Complete Cone Metric Spaces, Cone $b$-Metric Spaces. DOWNLOAD PDF DOWNLOAD XML How to cite this article: Pawan Kumar, Z...