Caristi type mappings and characterization of completeness of Archimedean type fuzzy metric spaces

Abstract

This paper deals with some issues of fixed point concerning Caristi type mappings introduced by Abbasi and Golshan (Kybernetika 52:929–942, 2016) in fuzzy metric spaces. We enlarge this class of mappings and prove completeness characterization of corresponding fuzzy metric space. The paper includes a comprehensive set of examples showing the generality of our results and an open question.