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. Preprints2018, 2018090195 (doi: 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 (doi: 10.20944/preprints201809.0195.v1).
Cite as:
Kongban, C.; Kumam, P.; Martinez-Moreno, J. Random Fixed Point Theorems for Generalized Random α-ψ-contractive Mappings with Applications to Stochastic Differential Equation. Preprints2018, 2018090195 (doi: 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 (doi: 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
MATHEMATICS & COMPUTER SCIENCE, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
