# A common random fixed point theorem and Application to Random Integral Equations

## DOI:

https://doi.org/10.14419/ijamr.v3i1.1690## Published:

2014-02-22## Abstract

The aim of this paper is to prove a fixed point theorem of a contraction mappings of a pair of weakly increasing mappings using an altering function in a partially ordered complete separable metric spaces. Our theorem is useful to determine a large of nonlinear problems. We discuss the existence of a common solution to a system of nonlinear random integral equations.

**Keywords:** Common random fixed point, Nonlinear integral random equation, Partially ordered metric spaces, Random variable, Weakly increasing.

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