Certain applications of (α, β)-(ξ, ϖ)-weakly cyclic contractions in C∗-algebra valued G-metric spaces
Year: 2026
Type: article
Abstract: This paper presents a novel class of generalized (α, β)-(ξ, ϖ)-weakly cyclic contraction mappings within the framework of C ∗ -algebra valued G-metric spaces (C ∗ -AV-G-MS). We establish new common fixed-point theorems that broaden and unify several existing results in the literature. To illustrate the applicability and robustness of our approach, we provide concrete examples. Furthermore, the developed theory is employed to prove the existence and uniqueness of solutions to a functional Equations and to explore implications in homotopy theory.
Source: Advances in Fixed Point Theory
DOI: 10.28919/afpt/9705
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7128819895