Common Fixed, Coupled Coincidence and Common Coupled Fixed Point Results in Hyperbolic Valued Metric Spaces

Abstract

In this paper, we obtain existence of unique common fixed point for a contraction mapping on hyperbolic valued metric spaces, and also develop some coupled coincidence point and common coupled fixed point results for two mappings satisfying various contractive conditions in such spaces. We also give some illustrative examples to validate our results. © 2023 Boletim da Sociedade Paranaense de Matematica. All rights reserved.