Coupled Fixed Point Theorem for Hybrid Pairs of Mappings under φ - ψ Contraction in Fuzzy Metric Spac

Abstract

In this paper, we establish some common coupled fixed point theorems for two hybrid pairs of mappings under φ − ψ contraction on noncomplete fuzzy metric spaces using the property (EA) introduced by Deshpande and Handa [3]. We improve, extend and generalize the results of Deshpande and Handa [3] and several other known results in metric spaces to fuzzy metric spaces.

Key words and phrases. Fixed point, coupled coincidence point, coupled fixed point, multivalued maps.

1991 Mathematics Subject Classification. 54H25, 47H10