Abstract

In this paper, the authors have defined some properties in M-fuzzy metric spaces defined by Sedgi and Shobe [15] and they established some common coupled fixed point theorems in M-fuzzy metric space using an implicit relation. They defined the notion of (E.A.) property and common (E.A.) property for the pair of mappings defined in — fuzzy metric space. The obtained results extend, generalize, and improve several results of D - metric spaces defined by Dhage [3] and metric spaces to generalized fuzzy metric spaces or M-fuzzy metric spaces.

Keywords
M-Fuzzy Metric Spaces, T-Norm, Weakly Commuting Mappings, (E.A.) Property, Common (E.A.) Property, Implicit Relation, Coupled Fixed Point.

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