Remarks on α,β-Admissible Mappings and Fixed Points under Z-Contraction Mappings

Abstract

In this paper, we discuss about different types of α,β-admissible mappings and introduce some new α,β-contraction-type mappings under simulation function. Furthermore, we present the definition of S-metric-like space and its topological properties. Some fixed point theorems in this space are established, proved, and verified with examples.