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.

引用

页码：333 / 344

页数：12

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