Some CommonFixed Point Results of Generalized α−θ-Geraghty Type Contraction Mappings in the Setting of b-Metric-Like Spaces via CG-Simulation Functions

Abstract

In this thesis work we introduced generalized α −θ-Geraghty type contraction mappings in the setting of b-metric-like spaces via CG-simulation functions and proved existence and uniqueness of common fixed point for mappings introduced. Our result extends and generalize many related fixed-point results in the existing literature, in particular that of Taqbibt et al., (2023). Also, we provided examples in support of our main results. In this research under taking, we followed analytical study design and used secondary sources of data such as published paper related books.