Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces

被引：10

作者：

Atsushiba, Sachiko ^{[1
]}

Takahashi, Wataru

机构：

[1] Shibaura Inst Technol, Dept Math, Minuma Ku, Saitama 3378570, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2005年 / 2005卷 / 03期

关键词：

D O I：

10.1155/FPTA.2005.343

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an implicit iterative process for a nonexpansive semigroup and then we prove a weak convergence theorem for the nonexpansive semigroup in a uniformly convex Banach space which satisfies Opial's condition. Further, we discuss the strong convergence of the implicit iterative process.

引用

页码：343 / 354

页数：12

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