Fixed Point Results for Various α -Admissible Contractive Mappings on Metric-Like Spaces

Abstract

We establish some fixed point theorems for $\alpha$-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type $\mathrm{\alpha -}\varphi$-contractive self-mapping $f$ defined on a metric-like space $X$. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.