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.
Copyright © 2025 D. Haritha, K. Rama Koteswara Rao, B. Srinuvasa Rao, N. Mangapathi. 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
D. Haritha, K. R. K. Rao, B. S. Rao, N. Mangapathi, Fixed point applications of twisted (α,β)-ϕ-contractive mappings in C∗-algebra valued Sb-metric spaces, Adv. Fixed Point Theory 15 (2025), 34. https://doi.org/10.28919/afpt/9444
BibTeX
@article{Haritha2025,
author = {Haritha, D. and Rao, K. Rama Koteswara and Rao, B. Srinuvasa and Mangapathi, N.},
title = {Fixed point applications of twisted (α,β)-ϕ-contractive mappings in C∗-algebra valued Sb-metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {34},
doi = {10.28919/afpt/9444}
}