Order uniform convexity in Banach spaces with an application
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- by Monther Rashed Alfuraidan and Mohamed Amine Khamsi PDF
- Proc. Amer. Math. Soc. 149 (2021), 1621-1630 Request permission
Abstract:
In this work, we introduce a variant form of uniform convexity in partially ordered Banach spaces. This uniform convexity property is more adequate than norm uniform convexity when studying the fixed point problem for monotone nonexpansive mappings.References
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Additional Information
- Monther Rashed Alfuraidan
- Affiliation: Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
- MR Author ID: 795781
- ORCID: 0000-0002-3641-290X
- Email: monther@kfupm.edu.sa
- Mohamed Amine Khamsi
- Affiliation: Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi, United Arab Emirates
- MR Author ID: 100900
- ORCID: 0000-0001-6787-7032
- Email: mohamed.khamsi@ku.ac.ae
- Received by editor(s): March 22, 2020
- Received by editor(s) in revised form: August 20, 2020, and August 26, 2020
- Published electronically: February 5, 2021
- Additional Notes: The authors take the opportunity to express their acknowledgment for the support provided by the deanship of scientific research at King Fahd University of Petroleum & Minerals in the form of funding for this work through project No. SB181012.
- Communicated by: Mourad Ismail
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 1621-1630
- MSC (2020): Primary 46B20; Secondary 47H10
- DOI: https://doi.org/10.1090/proc/15329
- MathSciNet review: 4242317