Common fixed point theorems in a new fuzzy metric space

Abstract

We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a new M ∞-fuzzy metric, where M ∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Moreover, under Φ-contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings. Copyright © 2012 Weiquan Zhang et al.