Browsed by
Category: Number 3

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,...

Read More Read More

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...

Read More Read More

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...

Read More Read More

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 $W^1L^{\phi}(\Omega)$...

Read More Read More

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  ...

Read More Read More

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...

Read More Read More

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....

Read More Read More

$k^{*}$-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,...

Read More Read More