Preprint Article Version 1 This version is not peer-reviewed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 (doi: 10.20944/preprints201809.0195.v1). Kongban, C.; Kumam, P.; Martinez-Moreno, J. Random Fixed Point Theorems for Generalized Random &alpha;-&psi;-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.

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