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http://dx.doi.org/10.7858/eamj.2015.008

COMMON COUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTION  

Deshpande, Bhavana (Department of Mathematics, Govt. P. G. Arts and Science College)
Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
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Abstract
We establish a coupled coincidence and common coupled fixed point theorem for hybrid pair of mappings under generalized non-linear contraction. An example supporting to our result has also been cited. We improve, extend and generalize several known results.
Keywords
coupled fixed point; coupled coincidence point; generalized non-linear contraction; w-compatibility; F-weakly commuting;
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