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Coincidence of Fixed Points with Mixed Monotone Property

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DOI:

https://doi.org/10.21123/bsj.2022.6711

Keywords:

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

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. 

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