# Common Fixed Point Theorems in Fuzzy Metric Space using Implicit Relation

@inproceedings{Rani2011CommonFP, title={Common Fixed Point Theorems in Fuzzy Metric Space using Implicit Relation}, author={Asha Rani and Sanjay Kumar}, year={2011} }

- Published 2011
DOI:10.5120/2459-3149

In this paper, we prove common fixed point theorems in fuzzy metric spaces for weakly compatible mappings along with property (E.A.) satisfying implicit relation. Property (E.A.) buys containment of ranges without any continuity requirement besides minimizing the commutativity conditions of the maps to commutativity 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.