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

被引：1

作者：

Huang, Qianglian ^{[1
,2
]}

Zhu, Lanping ^{[1
,2
]}

Li, Gang ^{[1
]}

机构：

[1] Yangzhou Univ, Coll Math, Yangzhou 225002, Peoples R China

[2] Monash Univ, Sch Math Sci, Melbourne, Vic 3800, Australia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

asymptotically nonexpansive type mapping; left amenable semigroup; reversible semigroup; fixed point; NONLINEAR ERGODIC-THEOREMS; NONEXPANSIVE-MAPPINGS; CONVERGENCE;

D O I：

10.1186/1687-1812-2012-116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：11

共 50 条

[1] Fixed point theorems for left amenable semigroups of non-Lipschitzian mappings in Banach spaces
Qianglian Huang
Lanping Zhu
Gang Li
[J]. Fixed Point Theory and Applications, 2012
[2] Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings in Banach spaces
Miyadera, I
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (01) : 27 - 39
[3] Nonlinear ergodic theorems for commutative semigroups of non-Lipschitzian mappings in Banach spaces
Li, G
Kim, JK
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2003, 29 (01): : 231 - 246
[4] Fixed point theorems for non-Lipschitzian self-mappings and geometric properties of Banach spaces
Kim, TH
[J]. FIXED POINT THEORY AND APPLICATIONS, VOL 3, 2002, : 125 - 135
[5] Fixed point theorems for Lipschitzian mappings in Banach spaces
Kim, TH
Kirk, WA
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (12) : 1905 - 1911
[6] Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings in Hilbert spaces
Miyadera, I
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2000, 4 (02): : 261 - 274
[7] Nonlinear ergodic theorem for semitopological semigroups of non-Lipschitzian mappings in Banach spaces
LI Gang and MA Jipu1. Department of Mathematics
2. Department of Mathematics
[J]. Science Bulletin, 1997, (01) : 8 - 11
[8] Nonlinear ergodic theorem for semitopological semigroups of non-Lipschitzian mappings in Banach spaces
Li, G
Ma, JP
[J]. CHINESE SCIENCE BULLETIN, 1997, 42 (01): : 8 - 11
[9] FIXED-POINT THEOREMS FOR LIPSCHITZIAN SEMIGROUPS IN BANACH-SPACES
TAN, KK
XU, HK
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (04) : 395 - 404
[10] Common Fixed Point of Modified Noor Iterations with Errors for Non-Lipschitzian Mappings in Banach Spaces
Onjai-uea, Nawitcha
Suantai, Suthep
[J]. THAI JOURNAL OF MATHEMATICS, 2008, 6 (03): : 115 - 132

← 1 2 3 4 5 →