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

Department of Mathematics

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	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

Bibliographical note

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© 2021 American Mathematical Society. All rights reserved.

Keywords

Fixed point
Mann iteration
Monotone nonexpansive mappings
Partial order
Uniform convexity

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/15329

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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.",

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KW - Fixed point

KW - Mann iteration

KW - Monotone nonexpansive mappings

KW - Partial order

KW - Uniform convexity

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Order uniform convexity in banach spaces with an application

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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