Fixed point theorems for left amenable semigroups of non-Lipschitzian mappings in Banach spaces

Fixexd point theory and applications

Gang Li¹  Qianglian Huang¹  Lanping Zhu² 

[1] College of Mathematics, Yangzhou University, Yangzhou, China;School of Mathematical Sciences, Monash University, Melbourne, Australia

关键词: asymptotically nonexpansive type mapping;    left amenable semigroup;    reversible semigroup;    fixed point;   

DOI  :  10.1186/1687-1812-2012-116

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we provide the existence and convergence theorems of fixed points for left amenable semigroups of asymptotically nonexpansive type mappings in general Banach spaces, which extend and improve many recent results in this area. MSC:47H09, 47H10, 47H20.

【 授权许可】

CC BY