Open AccessOrder uniform convexity in Banach spaces with an application
Author(s) -
Monther Rashed Alfuraidan,
Mohamed A. Khamsi
Publication year - 2021
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/15329
Subject(s) - convexity , monotone polygon , banach space , mathematics , uniformly convex space , norm (philosophy) , property (philosophy) , pure mathematics , mathematical analysis , lp space , banach manifold , geometry , philosophy , epistemology , political science , law , financial economics , economics
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.