Fixed point theorems in partially ordered C∗-algebra valued metric spaces and cyclic contractions

Alshaimaa Awad, Saleh Omran, Mohamed Elmursi

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.

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Published: 2025-07-28

How to Cite this Article:

Alshaimaa Awad, Saleh Omran, Mohamed Elmursi, Fixed point theorems in partially ordered C∗-algebra valued metric spaces and cyclic contractions, Adv. Fixed Point Theory, 15 (2025), Article ID 28

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.

Advances in Fixed Point Theory

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