### Browsed byCategory: 2018

Compactness and Continuity on Neutrosophic Soft Metric Space -by Tuhin Bera and Nirmal Kumar Mahapatra

## Compactness and Continuity on Neutrosophic Soft Metric Space -by Tuhin Bera and Nirmal Kumar Mahapatra

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...

$\mathcal{A}\mathcal{G}_{\I^{*}}$-sets, $\mathcal{B}G_{\I^{*}}$-sets and $\delta\beta_I$-open sets in ideal topological spaces -by Wadei AL-Omeri and Takashi Noiri

## $\mathcal{A}\mathcal{G}_{\I^{*}}$-sets, $\mathcal{B}G_{\I^{*}}$-sets and $\delta\beta_I$-open sets in ideal topological spaces -by Wadei AL-Omeri and Takashi Noiri

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....

Existence of a Non-Oscillating solution for a System of Nonlinear ODEs -by B.V.K. Bharadwaj and Pallav Kumar Baruah

## Existence of a Non-Oscillating solution for a System of Nonlinear ODEs -by B.V.K. Bharadwaj and Pallav Kumar Baruah

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...

Hangable graphs Mateusz Miotk and Jerzy Topp

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 $d(G)=... On Fuzzy Sets with Fuzzy Baire Property -by G.Thangaraj and R.Palani ## On Fuzzy Sets with Fuzzy Baire Property -by G.Thangaraj and R.Palani Abstract: In this paper, the concept of fuzzy sets with the fuzzy Baire property in fuzzy topological spaces is introduced and studied. Several characterizations of fuzzy sets with the fuzzy Baire property, are established. Keywords: Fuzzy dense set, fuzzy somewhere dense set,fuzzy nowhere dense set,fuzzy first category... Supra$g^{*}$-Closed Sets in Supra Bitopological Spaces -by R.Gowri and A.K.R.Rajayal ## Supra$g^{*}$-Closed Sets in Supra Bitopological Spaces -by R.Gowri and A.K.R.Rajayal Abstract: The objective of this paper is to introduce a new class of sets$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^{*}$-open... On the higher order rational difference equation$x_{n+1}=\frac{ \alpha +\beta x_{n-k}}{A+Bx_{n-k}}$-by Abdul Khaliq and Sk.Sarif Hassan ## On the higher order rational difference equation$x_{n+1}=\frac{ \alpha +\beta x_{n-k}}{A+Bx_{n-k}}$-by Abdul Khaliq and Sk.Sarif Hassan Abstract: In this paper, we have investigated a nonlinear rational difference equation of higher order. Our concentration is on invariant intervals, periodic character, the character of semicycles and global asymptotic stability of all positive solutions of \begin{equation*} x_{n+1}=\dfrac{\alpha +\beta x_{n-k}}{A+Bx_{n-k}},\;\;\;n=0,1,..., \end{equation*} where the parameters$\alpha $,... Some fixed point results in cone$b$-metric spaces -by Pawan Kumar, Z K Ansari ## Some fixed point results in cone$b$-metric spaces -by Pawan Kumar, Z K Ansari Abstract: In this paper, we proved some fixed point theorems of contraction mappings in cone$b$-metric spaces. Keywords: Fixed point,Cone Metric Spaces, Complete Cone Metric Spaces, Cone$b$-Metric Spaces. DOWNLOAD PDF DOWNLOAD XML How to cite this article: Pawan Kumar, Z... Fixed point theorems for$(\alpha-\psi)$contractions on multiplicative and partially ordered multiplicative metric spaces K.P.R.SASTRY, K.K.M.SARMA, S.LAKSHMANA RAO ## Fixed point theorems for$(\alpha-\psi)$contractions on multiplicative and partially ordered multiplicative metric spaces K.P.R.SASTRY, K.K.M.SARMA, S.LAKSHMANA RAO Abstract: In this paper we introduce the notion of generalized$(\alpha,\psi)-$contractive mappings on a multiplicative metric space and partially ordered multiplicative metric space and prove some fixed point theorems for such contractions. Also we provide two supporting examples. Keywords: Multiplicative metric spaces, generalized$(\alpha,\psi)-$contractive mappings,... Interpolation and Semi-group on Hilbert and Hardy Spaces of Dirichlet Series Ali Mohamed Abu Oam ## Interpolation and Semi-group on Hilbert and Hardy Spaces of Dirichlet Series Ali Mohamed Abu Oam Abstract: We investigate that a bounded sequence of points in the half plane$\sigma > \frac{1}{2}$is an interpolating sequence for Hilbert space of ordinary Dirichlet series with square summable coefficiens. Also, in the half plane$\sigma > \frac{1}{2}$we discuss the wold decomposition for... On the General Finite Sum of$r^{k}$and Its Applications Ahmed Ashraf Ali ## On the General Finite Sum of$r^{k}$and Its Applications Ahmed Ashraf Ali Abstract: This paper analyses the field of mathematics, number theory, around the divergence and convergence of series of varying forms such as P-series, geometric series and even more compound functions including the hyperbolic trigonometric function of sine, cosine and tangent. The purpose is typically to support... H$\ddot{O}$lder regularity of the parabolic$p$-Laplacian Sylvanus Kupongoh Samaila and Edikan E. Akpanibah ## H$\ddot{O}$lder regularity of the parabolic$p$-Laplacian Sylvanus Kupongoh Samaila and Edikan E. Akpanibah Abstract: This paper investigate quasi-linear parabolic$p$-Lapalace equation of the type \begin{equation*} \frac{\partial \varphi}{\partial t} - \text{div}(\frac{h(|\nabla \varphi|)\nabla \varphi}{|\nabla \varphi|})= 0,\end{equation*} under suitable assumptions. We provide a single geometric setting for which a bounded weak solution$\varphi$, is locally H$\ddot{o}$lder continuous in the Sobolve-Orlicz Space$W^1L^{\phi}(\Omega)$... Total resolving number of subdivision and total graphs N. Shunmugapriya and J. Paulraj Joseph ## Total resolving number of subdivision and total graphs N. Shunmugapriya and J. Paulraj Joseph Abstract: Let$G = (V, E)$be a simple connected graph. An ordered subset$W$of$V$is said to be a \textit{resolving set} of$G$if every vertex is uniquely determined by its vector of distances to the vertices in$W.$The minimum cardinality of... Fixed Point Theorems for Generalized Rational Contractions in Complex Valued$b$-Metric Spaces Anil Kumar Dubey, Shweta Bibay and R.P. Dubey ## Fixed Point Theorems for Generalized Rational Contractions in Complex Valued$b$-Metric Spaces Anil Kumar Dubey, Shweta Bibay and R.P. Dubey Abstract: In this paper, some fixed point theorems for generalized rational contractions in complex valued$b$-metric space are proved. These results extend and improve several well known results obtained previously. Keywords: Complete complex valued$b$-metric space, fixed point. DOWNLOAD PDF DOWNLOAD XML ... Optimal Expected Value of Assets Under Black-Scholes Equation with Transaction Costs Joy Ijeoma Adindu-Dick ## Optimal Expected Value of Assets Under Black-Scholes Equation with Transaction Costs Joy Ijeoma Adindu-Dick Abstract: This paper deals with optimal expected value of assets under Black-Scholes equation with transaction costs. The partial differential equation for option pricing with transaction costs on the domain$(P,T)\in(0,\infty)\times (0,T)$with terminal condition$C(P,T)=max(P-E,0),P\in(0,\infty)$for European call options with strike price$E$, and a... Painleve Analysis and Symmetry Analysis of the Two Dimensional Variable Coefficient Burgers Equation N. Muthumari ## Painleve Analysis and Symmetry Analysis of the Two Dimensional Variable Coefficient Burgers Equation N. Muthumari Abstract: We discuss the painleve analysis of the variable coefficient of the Burgers equation. Next discuss the symmetries of the variable coefficient of the Burgers equation. We classify one-dimensional and two-dimensional subalgebras of the Burgers equation. Further reduction of these equations to second order equations....$k^{*}$-Continuous Function in Ideal Closure Spaces R. Gowri, M. Pavithra ##$k^{*}$-Continuous Function in Ideal Closure Spaces R. Gowri, M. Pavithra Abstract: In this paper, we have defined the concept$k^{*}$-continuous function in ideal closure spaces. In particular, the properties of open and closed maps, composite of$k^{*}$-continuous functions, characterization of$k^{*}$-homeomorphic functions in ideal closure spaces are explained in detail. Keywords:$k^{*}$-continuous functions, open map, closed map,... On Two General Integrals Involving Humbert's and Kummer's Hypergeometric Functions Ahmed Ali Atash, Hussein Saleh Bellehaj ## On Two General Integrals Involving Humbert's and Kummer's Hypergeometric Functions Ahmed Ali Atash, Hussein Saleh Bellehaj Abstract: The aim of this paper is to apply generalized Kummer's theorem and generalized Dixon's theorem due to Lavoie et al. to establish two general integrals involving Humbert's functions of two variables$ \varPhi_2 $,$ \varPsi_2 $and Kummer's function$ {}_1F_1 $. Some interesting... On a Conjecture on Unimodal Sequences Gholamhassan Shirdel, Maryam Sarabadan ## On a Conjecture on Unimodal Sequences Gholamhassan Shirdel, Maryam Sarabadan Abstract: Wang and Yeh proved that if$P(x)$is a polynomial with non-negative and nondecreasing coefficients, then$P(x + d)$is unimodal for any$d > 0$. A mode of a unimodal polynomial$f(x) = a_0 + a_1x +\cdots+a_mx^m$is an index$k\$ such that...

Eco-epidemiological prey-predator model for limited growth prey species and susceptible-infected species S. Vijaya, J. Jayamal Singh and E. Rekha

## Eco-epidemiological prey-predator model for limited growth prey species and susceptible-infected species S. Vijaya, J. Jayamal Singh and E. Rekha

Abstract: Presented dynamical behavior of a prey--predator system where both prey and predator populations are affected by diseases with susceptible--infected. We also analysis the system of equilibrium point and stability analysis. A system of four differential equation susceptible--infected prey species and predator species has been proposed...