### GENERALIZED WEAK CONTRACTION FOR HYBRID PAIR OF MAPPINGS WITH APPLICATION

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#### Abstract

We establish some common coupled fixed point theorems for hybrid pair of mappings under generalized weak contraction on a non complete metric space, which is not partially ordered. As an application, we study the existence and uniqueness of the solution to an integral equation and also give an example to show the fruitfulness of our results. The results we obtain generalize, extend and improve several classical results in the literature in metric spaces.

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DOI: https://doi.org/10.22190/FUMI220721029H

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