The structure of fixed-point sets of uniformly lipschitzian semigroups

被引：0

作者：

Jarosław Górnicki

机构：

[1] Rzeszów University of Technology,Department of Mathematics

来源：

Collectanea Mathematica | 2012年 / 63卷

关键词：

One-parameter semigroup; Left reversible semigroup; Uniformly lipschitzian semigroup; Retraction; Asymptotic center; Fixed point; Uniformly convex Banach space; Primary 47H10; 47H20; Secondary 47H09; 54C15;

D O I：

暂无

中图分类号：

学科分类号：

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：11

共 50 条

[1] The structure of fixed-point sets of uniformly lipschitzian semigroups
Gornicki, Jaroslaw
[J]. COLLECTANEA MATHEMATICA, 2012, 63 (03) : 333 - 344
[2] The structure of fixed-point sets of Lipschitzian type semigroups
Sahu, D. R.
Agarwal, R. P.
O'Regan, Donal
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
[3] On the structure of fixed-point sets of uniformly lipschitzian mappings
Sedlak, Ewa
Wisnicki, Andrzej
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2007, 30 (02) : 345 - 350
[4] The structure of fixed-point sets of Lipschitzian type semigroups
DR Sahu
RP Agarwal
Donal O’Regan
[J]. Fixed Point Theory and Applications, 2012
[5] A FIXED-POINT THEOREM FOR SEMIGROUPS OF PROXIMATELY UNIFORMLY LIPSCHITZIAN MAPPINGS
XU, HK
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1991, 34 (04): : 559 - 562
[6] FIXED-POINT THEOREMS FOR UNIFORMLY LIPSCHITZIAN SEMIGROUPS IN UNIFORMLY CONVEX-SPACES
XU, HK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 152 (02) : 391 - 398
[7] Remarks on the structure of the fixed-point sets of uniformly lipschitzian mappings in uniformly convex Banach spaces
Gornicki, Jaroslaw
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (01) : 303 - 310
[8] FIXED-POINT THEOREMS FOR UNIFORMLY LIPSCHITZIAN SEMIGROUPS IN HILBERT-SPACES
ISHIHARA, H
TAKAHASHI, W
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 127 (01) : 206 - 210
[9] FIXED-POINT THEOREMS FOR UNIFORMLY LIPSCHITZIAN SEMIGROUPS IN METRIC-SPACES
HUANG, TJ
HUANG, YY
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1995, 26 (03): : 233 - 239
[10] FIXED-POINT THEOREMS FOR LIPSCHITZIAN SEMIGROUPS
ISHIHARA, H
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1989, 32 (01): : 90 - 97

← 1 2 3 4 5 →