Common fixed points of maps on fuzzy metric spaces

Abstract

Following Grabiec's approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces

Fixed Points for Subsequential Continuous Mappings in Fuzzy Metric Space

“…In ref. [27], two self maps A and B of a fuzzy metric space (X, M, *) are said to be weak compatible if they commute at their coincidence points, i.e. Ax = Bx implies ABx = BAx.…”

Some Fixed Point Theorems in intuitionistic fuzzy metric spaces

“…It is clear from the definition of Mishra et al [16] and Sharma and Deshpande [29] that two self mappings S and T of an intuitionistic fuzzy metric space (X , M , N , * , ♦)…”

Common Fixed Point Theorems for OWC Maps in Symmetric Fuzzy Metric Spaces

“…al [13] introduced the concept of compatible mapping in FM-space akin to concept of compatible mapping in metric space as follows: Definition 1.7 Maps f : X → X and T : X → B(X) are said to be compatible if fTx ∈ B(X) for each x ∈ X and M(fTx n , Tfx n , t) → 1, whenever {x n } is sequence in X such that Tx n → {z} (M(Tx n , z, t) →1) and fx n → z for some z ∈ X Definition 1.8 Maps f : X → X and T : X → B(X) are said to be weakly compatible if fTx ⊆ Tfx whenever fx ∈ Tx.…”