Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

被引：77

作者：

Falset, JG

Kaczor, W

Kuczumow, T ^{[1
]}

Reich, S

机构：

[1] Marie Curie Sklodowska Univ, Inst Matemat, PL-20031 Lublin, Poland

[2] Univ Valencia, Fac Matemat, Dept Anal Matemat, E-46100 Valencia, Spain

[3] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 03期

基金：

以色列科学基金会;

关键词：

almost convergence; almost orbit; asymptotically nonexpansive mappings; fixed point; Ishikawa and Mann iteration processes; nonlinear semigroup; the Kadec-Klee property; uniformly convex spaces;

D O I：

10.1016/S0362-546X(99)00200-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The weak convergence theorems in mean ergodic theorems for asymptotically nonexpansive semigroups and to the weak convergence of the modified Mann and Ishikawa iteration processes for asymptotically nonexpansive mappings were studied. All the results are new even for nonexpansive mappings and semigroups.

引用

页码：377 / 401

页数：25

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