Fixed point theorems for fuzzy ψ – contractive mappings in fuzzy metric spaces

Abstract

Mihet (D. Mihet, Fuzzy ψ – contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems 159 (2008), 739–744) proved a fixed point theorem for fuzzy ψ – contractive mappings in non-Archimedean fuzzy metric spaces. Motivated by this, in this paper, we provide two kinds of fixed point theorems in fuzzy metric spaces. First we prove a common fixed point theorem for fuzzy ψ – contractive mappings in fuzzy metric spaces and then we obtain a common fixed point theorem for three mappings in fuzzy metric spaces, by contractivity condition (D. Mihet, A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems 144 (2004), 431–439), (V. Radu, Some remarks on the probabilistic on fuzzy menger spaces, in: The Eighth Internal Conference on Appl Math Com-put Sci, Cluj-Napoca, 2002, Automat Comput Appl Math 11 (2002), 125–131).