Fixed Point Results for Compatible Mappings in Extended Parametric <i>S</i>_<i>b</i>-Metric Spaces

Abstract

This study aims to establish common fixed point theorems for a pair of compatible self-mappings within the framework of extended parametric Sb-metric spaces. To support our assertions, we provide corollaries and examples accompanied with graphical representations. Moreover, we leverage our principal outcome to guarantee the existence of a common solution to a system of integral equations.

Keywords

• compatible
• parametric
• <i>S_b</i>-metric spaces
• common fixed point
• pair of mappings