Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings in Hilbert spaces

被引：3

作者：

Miyadera, I ^{[1
]}

机构：

[1] Waseda Univ, Tokyo, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2000年 / 4卷 / 02期

关键词：

nonlinear ergodic theorem; semigroup of non-Lipschitzian mappings; fixed point; asymptotic center; asymptotically nonexpansive mapping in the weak sense; almost-orbit; weak almost-convergence; strong almost-convergence;

D O I：

10.11650/twjm/1500407231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a nonempty subset (not necessarily closed and convex) of a Hilbert space, and S = {T(t); t greater than or equal to 0} be a semigroup of non-Lipschitzian mappings on C. In this paper we study almost-convergence of almost-orbits of S.

引用

页码：261 / 274

页数：14

共 50 条

[1] 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
[2] 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
[3] 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
[4] 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
[5] ERGODIC THEOREMS FOR NON-LIPSCHITZIAN SEMIGROUPS WITHOUT CONVEXITY
LI GANG * MA JIPU **
[J]. Chinese Annals of Mathematics, 1998, (02) : 77 - 84
[6] Ergodic theorems for non-Lipschitzian semigroups without convexity
Li, G
Ma, JP
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1998, 19 (02) : 209 - 216
[7] Weak convergence and non-linear ergodic theorems for reversible semigroups of non-Lipschitzian mappings
Gang, L
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 206 (02) : 451 - 464
[8] 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
[9] ASYMPTOTIC-BEHAVIOR OF ALMOST-ORBITS OF NONLINEAR SEMIGROUPS OF NON-LIPSCHITZIAN MAPPINGS IN HILBERT-SPACES
TAN, KK
XU, HK
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (02) : 385 - 393
[10] Fixed point theorems for left amenable semigroups of non-Lipschitzian mappings in Banach spaces
Huang, Qianglian
Zhu, Lanping
Li, Gang
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,

← 1 2 3 4 5 →