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ISSN : 1226-0657

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Vol.23 No.1

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HUGE COUPLED COINCIDENCE POINT THEOREM FOR GENERALIZED COMPATIBLE PAIR OF MAPPINGS WITH APPLICATIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2016, v.23 no.1, pp.73-96
DESHPANDE, BHAVANA
HANDA, AMRISH
DESHPANDE,, B. , & HANDA,, A. (2016). HUGE COUPLED COINCIDENCE POINT THEOREM FOR GENERALIZED COMPATIBLE PAIR OF MAPPINGS WITH APPLICATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(1), 73-96.

Abstract

We establish a coupled coincidence point theorem for generalized com-patible pair of mappings under generalized nonlinear contraction on a partially or-dered metric space. We also deduce certain coupled fixed point results without mixed monotone property of F : X × X → X . An example supporting to our result has also been cited. As an application the solution of integral equations are obtained here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

keywords
coupled coincidence point, generalized nonlinear contraction, generalized compatibility, increasing mapping, mixed monotone mapping, commuting mapping

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