Order uniform convexity in banach spaces with an application

Monther Rashed Alfuraidan; Mohamed Amine Khamsi

doi:10.1090/proc/15329

Order uniform convexity in banach spaces with an application

Monther Rashed Alfuraidan
, Mohamed Amine Khamsi

Mathematics

King Fahd University for Petroleum and Minerals (KFUPM)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	British English
Pages (from-to)	1621-1630
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	4
DOIs	https://doi.org/10.1090/proc/15329
State	Published - Apr 2021

Keywords

Fixed point
Mann iteration
Monotone nonexpansive mappings
Partial order
Uniform convexity

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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",

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KW - Partial order

KW - Uniform convexity

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Order uniform convexity in banach spaces with an application

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