Common Caristi-type Fixed Point Theorem for Two Single Valued Mappings in Cone Metric Spaces
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 2, Issue 3
Abstract
In this paper, we obtain a common Caristi-type xed point theorem for two single valued mappings in the setting of cone metric spaces. Further, we derive some consequences and a coupled xed point theorem for two mappings without the need of the monotonicity assumption. Our work is supported by dierent examples.
Authors and Affiliations
Lazaiz Samih, Aamri Mohamed, Saffaj Hamza, Zakary Omar
The Condition Numbers of Semi-simple Eigenvalue of Quadratic Eigenvalue Problem
The condition numbers of eigenvalues of matrices measure the sensitivities of eigenvalues to small perturbation of matrix. They're widely used to assess the quality of numerical algorithms for eigenvalue problems. This p...
Investor’s Power Utility Optimization with Consumption, Tax, Dividend and Transaction Cost under Constant Elasticity of Variance Model
This work considered an investor’s portfolio where consumption, taxes, transaction costs and dividends are in involved, under constant elasticity of variance (CEV). The stock price is assumed to be governed by a constant...
Convergence Analysis and Implementation of Adomian Decomposition Method on Second-order Oscillatory Problems
In this paper, a new convergence analysis of Adomian Decomposition Method (ADM) for second-order problems will be presented. The ADM will also be implemented on second-order oscillatory problems to generate approximate s...
Generic Simplicity of a Schrödinger-type Operator on the Torus
The generic simplicity of the spectrum of a Schrödinger-type operator on the n-dimensional torus is studied using the Rayleigh-Schrödinger perturbation theory. The existence of a perturbation potential of the Laplacian i...
Nonlinear Inverse Problems for Von Karman Equations: A Neural Network Approximation
This paper considers the coefficient inverse problem for the nonlinear boundary problem of von Karman equations. The Fréchet differentiability of the inverse operator is proved and its neural network approximation is con...