The structure of fixed-point sets of uniformly lipschitzian semigroups

被引：4
|
作者：
Gornicki, Jaroslaw [1 ]
机构：
[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland
来源：
COLLECTANEA MATHEMATICA | 2012年 / 63卷 / 03期
关键词：
One-parameter semigroup; Left reversible semigroup; Uniformly lipschitzian semigroup; Retraction; Asymptotic center; Fixed point; Uniformly convex Banach space; THEOREMS;
D O I：
10.1007/s13348-011-0040-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by asymptotic center techniques, we shown that the set of fixed points of a uniformly k-lipschitzian semigroup (one-parameter or left reversible semi-topological) in a uniformly convex Banach space is a retract of the domain if k is close to 1. The results presented in this paper includes (among others, in the discrete situation) many known results as special cases.
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页码：333 / 344
页数：12
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