Fixed point results for Suzuki‐type Σ‐contractions via simulation functions in modular b‐metric spaces

摘要

This study aims to introduce Suzuki‐type Σ‐contraction mappings with simulation functions in the framework of modular b‐metric spaces. Some coincidence and common fixed point results are obtained for four mappings with the weak compatibility property. Outcomes are the extensions and improvements of the existing literature. Finally, we also present two applications on graph theory and homotopy theory, which show the applicability and validity of our results.