Some fixed point theorems for $$S_F$$ S F -contraction in complete fuzzy metric spaces

Abstract

In this paper, we prove some fixed point theorems by introducing a new F-contraction namely $$S_F$$ -contraction in fuzzy metric spaces by combining the idea of Wardowski’s (Fixed Point Theory Appl 2012, Article ID 94, 2012) and Secelean’s (Fixed Point Theory Appl 2013, Article ID 277, 2013) contractions in metric spaces and Grabiec’s (Fuzzy Sets Syst 125, 385–389, 1988) contraction in fuzzy metric spaces. An example is also given to support the results proved herein.