Applications of twisted coupling frameworks in C∗-algebra valued G-metric spaces

Abstract

This paper introduces twisted (α,β)-(ϕ,℘)-contraction type T-coupling and proves a theorem ensuring existence and uniqueness of strong coupled coincidence and common fixed points in C^∗-algebra valued G-metric spaces (C^∗-AVGMS). The findings generalize prior work, supported by examples, and demonstrate relevance through applications to functional equations and homotopy theory.