Coupled random fixed point theorems in partially ordered metric spaces

Abstract

In this paper, we prove some coupled random fixed point theorems for mapping having a mixed monotone property in partially ordered metric spaces for non linear contractions. Two coupled random coincidence and coupled random fixed point theorems are proved. Our result is a generalization of main result of Ciric and Lakshmikantham [Stochastic Analysis and Applications 27:6 (2009), 1246–1259].