Strong convergence of Browder's type iterations for left amenable semigroups of Lipschitzian mappings in Banach spaces

被引：13

作者：

Saeidi, Shahram ^{[1
]}

机构：

[1] Univ Kurdistan, Dept Math, Sanandaj 416, Kurdistan, Iran

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2009年 / 5卷 / 01期

关键词：

Amenable semigroup; common fixed point; iteration; left reversible; Lipschitzian mapping; nonexpansive mapping; sunny retraction; NONEXPANSIVE-MAPPINGS; ACCRETIVE-OPERATORS; FIXED-POINTS; THEOREMS; RESOLVENTS;

D O I：

10.1007/s11784-008-0092-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an iterative scheme of Browder's type for a semigroup of Lipschitzian mappings satisfying some uniform Lipschitzian condition, from a compact convex subset C of a smooth Banach space into C, with respect to a sequence of strongly asymptotic invariant means defined on an appropriate space of bounded real valued functions of the semigroup. The results presented in this paper generalize the corresponding results of Lau, Miyake and Takahashi [Nonlinear Anal. 67 (2007), 1211-1225].

引用

页码：93 / 103

页数：11

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