Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Random Fixed Point Theorems for Generalized Random α-ψ-contractive Mappings with Applications to Stochastic Differential Equation

Version 1 : Received: 8 September 2018 / Approved: 11 September 2018 / Online: 11 September 2018 (11:52:25 CEST)

How to cite: Kongban, C.; Kumam, P.; Martinez-Moreno, J. Random Fixed Point Theorems for Generalized Random α-ψ-contractive Mappings with Applications to Stochastic Differential Equation. Preprints 2018, 2018090195. https://doi.org/10.20944/preprints201809.0195.v1 Kongban, C.; Kumam, P.; Martinez-Moreno, J. Random Fixed Point Theorems for Generalized Random α-ψ-contractive Mappings with Applications to Stochastic Differential Equation. Preprints 2018, 2018090195. https://doi.org/10.20944/preprints201809.0195.v1

Abstract

In this paper, we prove some random fixed point theorems for generalized random $\alpha-\psi-$contractive mappings in a Polish space and, as some applications, we show the existence of random solutions of second order random differential equation.

Keywords

random fixed point, random $\alpha-$admissible with respect to $\eta$, generalized random $\alpha-\psi-$contractive mapping.

Subject

Computer Science and Mathematics, Analysis

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