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

Bhavana Deshpande; Amrish Handa

doi:10.5644/SJM.11.1.07

Authors

Bhavana Deshpande Govt. P. G. Arts & Science College, Ratlam (M. P.), India
Amrish Handa Govt. P. G. Arts & Science College, Ratlam (M. P.), India

DOI:

https://doi.org/10.5644/SJM.11.1.07

Keywords:

Coupled fixed point, coupled coincidence point, implicit relation, $w-$compatibility, weak commuting mappings

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.

Statistics

Abstract: 25 / PDF: 6

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