Common Fixed Point for Self-Mappings Satisfying an Implicit Lipschitz-Type Condition in Kaleva-Seikkala's Type Fuzzy Metric Spaces

We first introduce the new real function class ℱ satisfying an implicit Lipschitz-type condition. Then, by using ℱ-type real functions, some common fixed point theorems for a pair of self-mappings satisfying an implicit Lipschitz-type condition in fuzzy metric spaces (in the sense of Kaleva and Seikkala) are established. As applications, we obtain the corresponding common fixed point theorems in metric spaces. Also, some examples are given, which show that there exist mappings which satisfy the conditions in this paper but cannot satisfy the general contractive type conditions

Coupled Fixed Point Theorems with CLRg property in Fuzzy Metric Spaces .

In this paper, we prove common coupled fixed point theorems by using  E.A. property and CLRg property for coupled mappings  without exploiting the notion of continuity, completeness of  the whole space or any of its range spaces. Our theorems generalize the result of  [5] and [10-14]. We also find an affirmative answer in fuzzy metric space to the problem of Rhoades[2]. Illustrative  examples supporting our results have also been cited

Common Fixed Point Theorem for Weakly Compatible Maps in Intuitionistic Fuzzy Metric Spaces

In this paper, we prove some common fixed point theorem for weakly compatible maps in intuitionistic fuzzy metric space for two, four and six self mapping