Coincidence of Fixed Points with Mixed Monotone Property

Abstract

The purpose of this paper is to introduce and prove some coupled coincidence fixed point theorems for self mappings satisfying -contractive condition with rational expressions on complete partially ordered metric spaces involving altering distance functions with mixed monotone property of the mapping. Our results improve and unify a multitude of coupled fixed point theorems and generalize some recent results in partially ordered metric space. An example is given to show the validity of our main result.

Keywords

• Common fixed point, Coupled fixed point, Metric space, Mixed monotone property, Ordered set, Partially ordered set, Rational contractive