Fixed point applications of twisted (α,β)-ϕ-contractive mappings in C∗-algebra valued Sb-metric spaces

Abstract

This article explores the concept of generalized twisted(α,β)-ϕ-contractive type mappings and establishes fixed point theorems for these mappings within complete C∗-algebra valued Sb-metric spaces. We introduce twisted (α,β)-admissible mappings and demonstrate their utility in finding fixed points. Our results extend and enhance previous theorems in the literature. Additionally, we provide examples and applications related to integral equations and homotopy to highlight the key findings and innovations of our work.