Common fixed points of two nonexpansive mappings in Banach spaces

被引：12

作者：

Suzuki, T

机构：

[1] Kyushu Inst Technol, Dept Math, Tobata Ku, Kitakyushu, Fukuoka 8048550, Japan

[2] Niigata Univ, Grad Sch Sci & Technol, Dept Math & Informat Sci, Niigata 9502181, Japan

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2004年 / 69卷 / 01期

关键词：

D O I：

10.1017/S0004972700034213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss a necessary and sufficient condition for common fixed points of two nonexpansive mappings. We then prove a convergence theorem to a common fixed point. Finally, we discuss the existence of a nonexpansive retraction onto the set of common fixed points of nonexpansive mappings. In these theorems, we do not assume the strict (uniform) convexity of the norm of the Banach space.

引用

页码：1 / 18

页数：18

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