Fixed point and endpoint theorems for set-valued fuzzy contraction maps in fuzzy metric spaces

Abstract

In this paper, we first present a fixed point theorem for set-valued fuzzy contraction type maps in complete fuzzy metric spaces which extends and improves some well-know results in literature. Then by presenting an endpoint result we initiate endpoint theory for fuzzy contraction maps in fuzzy metric spaces. © 2011 Kiany and Amini-Harandi; licensee Springer.