A Fixed point Theorem Satisfying Integral Type Contraction in Fuzzy Metric Space

Abstract

In this paper we analyze the existence of fixed points for mappings defined on a complete fuzzy metric space satisfying a contractive condition of integral type. Our main result generalize the fuzzy Banach contraction theorem of V. Gregori and A. Sapena [V. Gregori and A. Sapena, On fixed-point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 125(2) (2002) 245− 252]