Certain applications of (α, β)-(ξ, ϖ)-weakly cyclic contractions in C∗-algebra valued G-metric spaces
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.
Copyright © 2026 V. Venkata Ravi Kumar, P. Laxmipriya, B. Srinuvasa Rao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
V. V. R. Kumar, P. Laxmipriya, B. S. Rao, Certain applications of (α, β)-(ξ, ϖ)-weakly cyclic contractions in C∗-algebra valued G-metric spaces, Adv. Fixed Point Theory 16 (2026), 6. https://doi.org/10.28919/afpt/9705
BibTeX
@article{Kumar2026,
author = {Kumar, V. Venkata Ravi and Laxmipriya, P. and Rao, B. Srinuvasa},
title = {Certain applications of (α, β)-(ξ, ϖ)-weakly cyclic contractions in C∗-algebra valued G-metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {16},
year = {2026},
pages = {6},
doi = {10.28919/afpt/9705}
}