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.
Subject Areas
random fixed point, random $\alpha-$admissible with respect to $\eta$, generalized random $\alpha-\psi-$contractive mapping.
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.
Chayut Kongban
Poom Kumam