Fixed point theorems in partially ordered C∗-algebra valued metric spaces and cyclic contractions
Abstract
In this paper, we established partially ordered C∗-algebra valued metric spaces. In particular, we prove some Banach fixed point theorems and some fixed point theorems for cyclic contractions in partially ordered C∗-algebra valued metric spaces. We give some examples to illustrate our results.
Copyright © 2025 Alshaimaa Awad, Saleh Omran, Mohamed Elmursi. 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
A. Awad, S. Omran, M. Elmursi, Fixed point theorems in partially ordered C∗-algebra valued metric spaces and cyclic contractions, Adv. Fixed Point Theory 15 (2025), 28. https://doi.org/10.28919/afpt/9204
BibTeX
@article{Awad2025,
author = {Awad, Alshaimaa and Omran, Saleh and Elmursi, Mohamed},
title = {Fixed point theorems in partially ordered C∗-algebra valued metric spaces and cyclic contractions},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {28},
doi = {10.28919/afpt/9204}
}