Abstract
Abstract The aim of this work is to define the notion of compatible random operators in a partially ordered metric space and prove some coupled random coincidence theorems for a pair of compatible mixed monotone random operators satisfying ( ϕ , φ ) -weak contractive conditions. These results present random versions and extensions of recent results of Ćirić and Lakshmikantham (Stoch. Anal. Appl. 27:1246-1259, 2009), Choudhury and Kundu (Nonlinear Anal. 73:2524-2531, 2010), Alotaibi and Alsulami (Fixed Point Theory Appl. 2011:44, 2011) and many others.
Highlights
Random coincidence point theorems are stochastic generalizations of classical coincidence point theorems
Some random fixed point theorems play an important role in the theory of random differential and random integral equations
Random fixed point theorems for contractive mappings on separable complete metric spaces have been proved by several authors [ – ]
Summary
Random coincidence point theorems are stochastic generalizations of classical coincidence point theorems.
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