EMPLOYING WEAK ψ - φ CONTRACTION IN COMMON COUPLED FIXED POINT RESULTS FOR HYBRID PAIR OF MAPPINGS UNDER NEW WEAKER CONDITIONS

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Published: 2015-10-08

Page: 116-127


BHAVANA DESHPANDE *

Department of Mathematics, Govt. P. G. Arts and Science College Ratlam (M. P.) India

AMRISH HANDA

Department of Mathematics, Govt. P. G. Arts and Science College Ratlam (M. P.) India

SURESH CHOUHAN

Department of Mathematics, Govt. P. G. Arts and Science College Ratlam (M. P.) India

*Author to whom correspondence should be addressed.


Abstract

We establish some common coupled xed point theorems for hybrid pair of mappings satisfying (EA) property and occasionally w-compatibility under weak ψ φ contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to nd coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. An example is also given to validate our results. We improve, extend and generalize several known results.

Keywords: Coupled fixed point, coupled coincidence point, (EA) property, w-compatibility, occasionally w-compatibility, weak ψ - φ contraction


How to Cite

DESHPANDE, B., HANDA, A., & CHOUHAN, S. (2015). EMPLOYING WEAK ψ - φ CONTRACTION IN COMMON COUPLED FIXED POINT RESULTS FOR HYBRID PAIR OF MAPPINGS UNDER NEW WEAKER CONDITIONS. Asian Journal of Mathematics and Computer Research, 8(2), 116–127. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/502

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