An overview on the Prus-Szczepanik condition

Fixexd point theory and applications

Eva M Mazcuñ¹  Enrique Llorens-Fuster¹  ndez-Linares¹  Carlos A Herná¹ 

[1] Faculty of Mathematics, University of Valencia, Spain

关键词: fixed point property;    E-convexity;    (PS) condition;    Opial modulus;    uniformly noncreasy Banach spaces;   

DOI  :  10.1186/1687-1812-2014-37

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY