[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2017.24.2.79

COUPLED COINCIDENCE POINT RESULTS FOR GENERALIZED SYMMETRIC MEIR-KEELER CONTRACTION ON PARTIALLY ORDERED METRIC SPACES WITH APPLICATION

Deshpande, Bhavana (Department of Mathematics, B. S. Govt. P. G. College)
Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)

Publication Information

The Pure and Applied Mathematics / v.24, no.2, 2017 , pp. 79-98 More about this Journal

Abstract

We establish a coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X{\times}X{\rightarrow}X$ under generalized symmetric Meir-Keeler contraction on a partially ordered metric space. We also deduce certain coupled fixed point results without mixed monotone property of $F:X{\times}X{\rightarrow}X$ . An example supporting to our result has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

Keywords

coupled coincidence point; generalized symmetric Meir-Keeler contraction; generalized compatibility; increasing mapping; mixed monotone mapping; commuting mapping;

Citations & Related Records

Reference

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