1Research Scholar,
2Research Scholar,
3
*Email: mkm2781@rediffmail.com
In this paper, we prove some fixed point theorems for weakly compatible maps in fuzzy metric space satisfying integral type inequality but without assuming the completeness of the space or continuity of the mappings involved.We extend this concept to fuzzy metric space and establish the existence of common fixed points for a pair of self mappings. The result obtained in the fuzzy metric space by using the notion of noncomapatible maps or the property (E.A) are very interesting. we prove common fixed point theorems for weakly compatible maps in fuzzy metric space by using the concept of (E.A) property, however, without assuming either the completeness of the space or continuity of the mappings involved. We also find an affirmative answer in fuzzy metric space to the problem of Rhoadese.
Fuzzy metric space, non compatible maps, weakly compatible maps, common fixed point, E.A property