# SOME COUPLED FIXED POINT THEOREMS SATISFYING CONTRACTIVE CONDITION OF RATIONAL TYPE VIA MIXED MONOTONE MAPPINGS IN PARTIALLY ORDERED METRIC SPACES

## Keywords:

monotone property, rational contractions, Coupled fixed point, Partially ordered metric space## Abstract

In this article, we prove the existence and uniqueness of coupled fixed point for nonlinear contractive mappings of rational type in the context of mixed monotone mappings for metric space, which is endowed with a partial order. The outcome ofour findings is an improvement to the available results in the literature.

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*The Transactions of the Nigerian Association of Mathematical Physics*,

*18*, 81 –86. https://nampjournals.org.ng/index.php/tnamp/article/view/169