RELATION-THEORETIC COUPLED FIXED POINT THEOREMS

Abstract

In this paper, we introduce mixed R-monotone property of a mapping and utilize the same to investigate existence and uniqueness of coupled fixed points in a metric space endowed with a binary relation R. Moreover, we present some coupled fixed point results for mappings without mixed monotone property using relation-theoretic approach. Our results generalize some well-known coupled fixed points theorems. Further, we give some illustrative examples in support of our results.