Common coupled fixed point theorems for two hybrid pairs of mappings satisfying an implicit relation

We establish two common coupled fixed point theorems for two hybrid pairs of mappings satisfying an implicit relation under weak commutativity and $w-$compatibility on a complete metric space, which is not partially ordered. We do not use the condition of continuity of any mapping for finding the co...

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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 11; no. 1; pp. 85 - 100
Main Authors Deshpande, Bhavana, Handa, Amrish
Format Journal Article
LanguageEnglish
Published 16.05.2025
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Summary:We establish two common coupled fixed point theorems for two hybrid pairs of mappings satisfying an implicit relation under weak commutativity and $w-$compatibility on a complete metric space, which is not partially ordered. We do not use the condition of continuity of any mapping for finding the coupled coincidence and common coupled fixed point. We improve, extend and generalize several known results.
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.11.1.07