Uniformly normal structure and uniformly Lipschitzian semigroups

被引：9
|
作者：
Ceng, Lu-Chuan [3 ,4 ]
Xu, Hong-Kun [1 ,2 ]
Yao, Jen-Chih [1 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[4] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 12期
基金：
美国国家科学基金会;
关键词：
Uniformly normal structure; Uniformly Lipschitzian semigroup; Fixed point; Characteristic of convexity; Modulus of convexity; NORMAL STRUCTURE COEFFICIENT; FIXED-POINT THEOREMS; BANACH-SPACES; EXISTENCE; MAPPINGS;
D O I：
10.1016/j.na.2010.07.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Assume that X is a real Banach space with uniformly normal structure and C is a nonempty closed convex subset of X. We show that a kappa-uniformly Lipschitzian semigroup of nonlinear self-mappings of C admits a common fixed point if the semigroup has a bounded orbit and if kappa is appropriately greater than one. This result applies, in particular, to the framework of uniformly convex Banach spaces. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3742 / 3750
页数：9
相关论文
共 50 条
12345