Weak convergence of almost orbits of asymptotically nonexpansive commutative semigroups

被引：53

作者：

Kaczor, W ^{[1
]}

机构：

[1] UMCS, Inst Matemat, PL-20031 Lublin, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 272卷 / 02期

关键词：

almost orbits; asymptotically nonexpansive commutative semigroups; duality mappings; Kadec-Klee property; Kadec property; uniformly convex Banach spaces;

D O I：

10.1016/S0022-247X(02)00175-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give three equivalent conditions for weak convergence of almost orbits of an asymptotically nonexpansive commutative semigroup, acting on a nonempty bounded closed convex subset of a uniformly convex Banach space whose dual has the Kadec property. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：565 / 574

页数：10

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