@article{9e6190667e124af7b65873b3c8dfa0d4,
title = "Order uniform convexity in banach spaces with an application",
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.",
keywords = "Fixed point, Mann iteration, Monotone nonexpansive mappings, Partial order, Uniform convexity",
author = "Alfuraidan, {Monther Rashed} and Khamsi, {Mohamed Amine}",
note = "Funding Information: Received by the editors March 22, 2020, and, in revised form, August 20, 2020, and August 26, 2020. 2020 Mathematics Subject Classification. Primary 46B20; Secondary 47H10. Key words and phrases. Fixed point, Mann iteration, monotone nonexpansive mappings, partial order, uniform convexity. 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. Publisher Copyright: {\textcopyright} 2021 American Mathematical Society. All rights reserved.",
year = "2021",
month = apr,
doi = "10.1090/proc/15329",
language = "British English",
volume = "149",
pages = "1621--1630",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "4",
}