The τ -fixed point property for left reversible semigroups

Fixexd point theory and applications

Francisco E Castillo-Santos¹  Maria A Japn² 

[1] CIMAT, Centro de Investigacin en Matemticas, CONACYT, Consejo Nacional de Ciencias y Tecnologa, Guanajuato, Mxico;Departamento de Anlisis Matemtico, Facultad de Matemticas, Universidad de Sevilla, Sevilla, Spain

关键词: Schauder basis;    sequentially separating norms;    fixed point property;    nonexpansive mappings;    renorming theory;    Schur property;    46B03;    47H09;    47H10;   

DOI  :  10.1186/s13663-015-0357-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article we use the generalized Gossez-Lami Dozo property and the Opial condition to study the fixed point property for left reversible semigroups in separable Banach spaces. As a consequence, some previous results will be deduced and new examples of Banach spaces satisfying the fixed point property for left reversible semigroups are shown. We will also extend some previous theorems when we consider the semigroup formed by a unique nonexpansive mapping and its iterates.

【 授权许可】

CC BY