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.
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页码：1 / 18
页数：18
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