An overview on the Prus-Szczepanik condition

In 2005 Prus and Sczcepanik introduced a large class of Banach spaces with the fixed point property for nonexpansive mappings. We say that this class satisfies the PSz condition. Checking that a given Banach space belongs to this class is not an easy task. Here we study the relationship between the...

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Bibliographic Details
Authors: Hernández Linares, Carlos Alberto, Llorens Fuster, Enrique, Mazcuñán Navarro, Eva María, Muñiz Pérez, Omar
Format: article
Status:Published version
Publication Date:2014
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42611
Online Access:http://hdl.handle.net/11441/42611
https://doi.org/10.1186/1687-1812-2014-37
Access Level:Open access
Keyword:Fixed point property
E-convexity
(PS) condition
Opial modulus
Uniformly noncreasy Banach spaces
Description
Summary:In 2005 Prus and Sczcepanik introduced a large class of Banach spaces with the fixed point property for nonexpansive mappings. We say that this class satisfies the PSz condition. Checking that a given Banach space belongs to this class is not an easy task. Here we study the relationship between the PSz condition and other well-known geometrical properties of Banach spaces, and we give easier sufficient conditions for a Banach space to satisfy it.

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