Fixed Point Theorems for φ-Probabilistic Contraction in Hausdorff Fuzzy Metric Spaces

摘要

In this paper,we discuss the common fixed point with respect to several self-mappings on fuzzy metric space.Recently many authors put forward some relevant common fixed point theorems,and their theorems require that these mappings have some assumptions such as commutativity or compatibility.However,our results do not need these assumptions but only these mappings areφ-probabilistic contraction.By defining a new mapping on the space which formed by compact sets,we can obtain these mappings’common fixed point.Also,we give some examples to justify our results.