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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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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Abstract 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.
AbstractList 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.
Author Handa, Amrish
Deshpande, Bhavana
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Title Common coupled fixed point theorems for two hybrid pairs of mappings satisfying an implicit relation
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