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

Chayut Kongban; Poom Kumam; Juan Martinez-Moreno

doi:10.20944/preprints201809.0195.v1

Submitted:

08 September 2018

Posted:

11 September 2018

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

Chayut Kongban

,Poom Kumam^*

,Juan Martinez-Moreno

Chayut Kongban

,Poom Kumam^*

,Juan Martinez-Moreno

Submitted:

08 September 2018

Posted:

11 September 2018

You are already at the latest version

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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