On coupled coincidence and common fixed point theorems for different types of mappings satisfying rational type contractions in \(b\)−metric spaces

Abstract

In this paper, we study the existence and uniqueness of coupled coincidence and common fixed points for single-valued and fuzzy mappings under contraction condition of rational type in \(b\)−metric spaces and obtain the corresponding results for hybrid pair of single-valued and multi-valued mappings. We consider \(b\)−metric space with a partial order and prove the existence of coupled coincidence and common fixed points for two single-valued mappings