Browsed by
Author: adv-math

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

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...

Read More Read More

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...

Read More Read More

Some weaker forms of Continuity in Bitopological ordered spaces M. Y. Bakier, A. F. Sayed

Some weaker forms of Continuity in Bitopological ordered spaces M. Y. Bakier, A. F. Sayed

Abstract:  The main purpose of the present paper is to introduce and study some weaker forms of continuity in bitopological ordered spaces .Such as pairwise $I$-continuous maps, pairwise $D$-continuous maps, pairwise $B$-continuous maps, pairwise $I$-open maps, pairwise $D$-open maps, pairwise $B$-open maps, pairwise $I$-closed maps,...

Read More Read More

Local Convergence of a multi-point family of high order methods in Banach spaces under H$\ddot{o}$lder continuous derivative Ioannis K. Argyros, Santhosh George

Local Convergence of a multi-point family of high order methods in Banach spaces under H$\ddot{o}$lder continuous derivative Ioannis K. Argyros, Santhosh George

Abstract:  We present a local convergence analysis for a multi-point family of high order methods in order to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given for these methods under H$\ddot{o}$lder continuity conditions....

Read More Read More

Compatible mappings of types using implicit relations in fuzzy metric spaces Pawan Kumar, Z.K.Ansari and Balbir Singh

Compatible mappings of types using implicit relations in fuzzy metric spaces Pawan Kumar, Z.K.Ansari and Balbir Singh

Abstract: In this paper, we prove some fixed point theorems with the notions of compatible mappings of type$(R)$, of type $(\chi)$ and of type $(E)$ using implicit relations in fuzzy metric space. Keywords: Fuzzy metric space, Compatible mappings, Compatible mappings of type $(R)$, of type $(\chi)$, of...

Read More Read More

On fuzzy simply* Lindelof spaces G.Thangaraj and S.Dharmasaraswathi

On fuzzy simply* Lindelof spaces G.Thangaraj and S.Dharmasaraswathi

Abstract: In this paper, the concept of fuzzy simply* Lindelof spaces is introduced and several characterizations of fuzzy simply* Lindelof spaces are given. The conditions under which fuzzy simply* Lindelof spaces become fuzzy simply Lindelof spaces, are obtained. Keywords: Fuzzy nowhere dense set, fuzzy first category set,...

Read More Read More

Recursive generation of prime numbers in the space of discrete geometries Yury Grigoryan, Yeghisabet Alaverdyan

Recursive generation of prime numbers in the space of discrete geometries Yury Grigoryan, Yeghisabet Alaverdyan

Abstract: New method of generating prime numbers through quantization of discrete geometrical space is proposed. It is shown that quantization of the geometrical space results in stratification of the space into subspaces in such a way that to each subspace a distinct indivisible line is associated....

Read More Read More

Two-Dimensional Conservative Solute Transport with Temporal and Scale-Dependent Dispersion: Analytical Solution R. R. Yadav and Lav Kush Kumar

Two-Dimensional Conservative Solute Transport with Temporal and Scale-Dependent Dispersion: Analytical Solution R. R. Yadav and Lav Kush Kumar

Abstract: This study develops a mathematical model for two-dimensional solute transport in a semi-infinite heterogeneous porous medium. The geological formation is initially not solute free. The nature of pollutants is considered conservative and gives out from space and time-dependent pulse type point source. Dispersion coefficient is...

Read More Read More

Note on the Kung-Traub Conjecture for Traub-type two-point Iterative methods for Quadratic Equations Kalyanasundaram Madhu

Note on the Kung-Traub Conjecture for Traub-type two-point Iterative methods for Quadratic Equations Kalyanasundaram Madhu

Abstract: In this work, we have developed two-point iterative methods with three function evaluations reaching more than fourth order convergence. Furthermore, we show that with the same number of function evaluations we can develop higher order two-point methods of order $r+3$, where $r$ is a...

Read More Read More

A class of multivalent analytic functions associated with fixed second coefficient M. Elumalai, S. Chinthamani and R. Ambrose Prabhu

A class of multivalent analytic functions associated with fixed second coefficient M. Elumalai, S. Chinthamani and R. Ambrose Prabhu

Abstract: In this present paper we obtain certain results on multivalent analytic functions, as an application of the principle of subordination, with fixed second coefficient. The influence of the second coefficient of $p$-valent analytic functions is realized in the results obtained. Keywords: Analytic functions, $p-$valent starlike...

Read More Read More