Coincidence and common fixed point theorems for four mappings satisfying ( α_s,F )-contraction

摘要

In this paper, we manifest some coincidence and common fixed point theorems for fourself-mappings satisfying Círíc-type and Hardy–Rogers-type ( s; F)-contractions defined on an s-complete b-metric space. We apply these results to infer several new and old correspondingresults in ordered b-metric spaces and graphic b-metric spaces. Our work generalizes severalrecent results existing in the literature. We present examples to validate our results. We discuss anapplication of main result to show the existence of common solution of the system of Volterra-typeintegral equations.