Fixed Point Results via <inline-formula><math display="inline"><semantics><mi mathvariant="script">G</mi></semantics></math></inline-formula>-Transitive Binary Relation and Fuzzy <inline-formula><math display="inline"><semantics><mi mathvariant="script">L</mi></semantics></math></inline-formula>-<inline-formula><math display="inline"><semantics><mi mathvariant="script">R</mi></semantics></math></inline-formula>-Contraction

Abstract

In this study, we initiate the concept of fuzzy L-R-contraction and establish some fixed point results involving a G-transitive binary relation and fuzzy L-simulation functions, by employing suitable hypotheses on a fuzzy metric space endowed with a binary relation. The presented results unify, generalize, and improve various previous findings in the literature.

Keywords

• fuzzy metric spaces
• fixed point
• fuzzy contraction
• simulation functions
• binary relation