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

Amrish Handa|Bhavana Deshpande
한국수학교육학회|2016.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제23권 제1호|pp. 73-96

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참고문헌

키워드

coupled coincidence pointgeneralized compatibilitymixed monotone mappinggeneralized nonlinear contractionincreasing mappingcommuting mapping.
주제분류수학

초록

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.

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 ffixed 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.

참고문헌 (19)

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