Coincidence of Fixed Points with Mixed Monotone Property
Common fixed point
Coupled fixed point
Metric space
Mixed monotone property
Ordered set
Partially ordered set
Rational contractive
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.
