Existence of Coincidence and Fixed Point Theorems for Non-linear Hybrid Map on Generalized Space

Abha Singh

Abstract


In a recent paper Pathak et al. [20] established the coincidence and fixed point theorems for nonlinear hybrid contraction map under f-weak compatible continuous maps on metric spaces. In this paper we prove coincidence and fixed point theorems for nonlinear hybrid contraction maps on generalized metric spaces for multi-valued and single maps. Proved results of this paper to be a substantial generalization of the corresponding theorem of the recent paper [20].


Keywords


Generalized metric space; Fixed point; Hybrid contraction map; Multi-valued maps; Single maps

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DOI: http://dx.doi.org/10.26713%2Fjims.v5i1.103

eISSN 0975-5748; pISSN 0974-875X