Fuzzy fixed point theorems for fuzzy mappings

In this paper, we introduce the concept of fuzzy fixed points of fuzzy mappings which is the generalization of the concept of fixed points of fuzzy mappings, and the concept of fuzzy α-almost convex mappings which is the generalization of the concept of α-almost convex mappings (classic ordinary point-to-point mappings). We also introduce the concepts of two new kinds of fuzzy contraction and nonexpansive mappings. We obtain some results about fuzzy fixed point of fuzzy α-almost convex mappings and fuzzy fixed point theorems of fuzzy contraction mappings that generalize some corresponding results that have been obtained by other authors.