An overview on the Prus-Szczepanik condition

作者：Hernandez Linares Carlos A; Llorens Fuster Enrique^*; Mazcunan Navarro Eva M; Muniz Perez Omar

来源：Fixed Point Theory and Applications, 2014, 2014(1): 37.

DOI：10.1186/1687-1812-2014-37

• fixed point property
• E-convexity
• (PS) condition
• Opial modulus
• uniformly noncreasy Banach spaces

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.

• 出版日期2014-2-13