Convergence to common fixed points of a finite family of nonexpansive mappings

被引：22

作者：

Kimura, Y ^{[1
]}

Takahashi, W ^{[1
]}

Toyoda, M ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan

来源：

ARCHIV DER MATHEMATIK | 2005年 / 84卷 / 04期

关键词：

D O I：

10.1007/s00013-004-1175-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study approximation of common fixed points of a finite family of nonexpansive mappings and introduce an iterative scheme defined by using a convex combination of mappings. Strong convergence of the iteration is obtained under several types of control conditions.

引用

页码：350 / 363

页数：14

共 16 条

[1]

Atsushiba S., 1999, Indian J. Math., V41, P435

[2]

BAILLON JB, 1975, CR ACAD SCI A MATH, V280, P1511

[3] The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space [J].