GENERALIZED WEAK CONTRACTION FOR HYBRID PAIR OF MAPPINGS WITH APPLICATION

Amrish Handa

DOI Number
https://doi.org/10.22190/FUMI220721029H
First page
437
Last page
454

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.


Keywords

Coupled fixed point, generalized weak contraction, $w$-compatibility, $T$-weakly commuting, (CLRg) property, integral equation.

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References


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

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