Fixed Point Theorem in Fuzzy Metric Space with E.A Property

Abstract

In this paper, we prove common fixed point theorems in Fuzzy Metric spaces for weakly compatible mappings along with property (E.A.) .Property (E.A.) buys containment of ranges without any continuity requirement besides minimizing the commutatively conditions of the maps to commutatively at their point of coincidence. Moreover, property (E.A.) allows replacing the completeness requirement of the space with a more natural condition of closeness of the range.

Mathematics Subject Classification: 47H10, 54H25

Keywords:Common fixed point; weakly compatible maps; property (E.A.).