On a fixed point result of Amini-Harandi in strictly convex Banach spaces

被引：3
|
作者：
Dowling, P. N. [1 ]
机构：
[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA
来源：
ACTA MATHEMATICA HUNGARICA | 2006年 / 112卷 / 1-2期
关键词：
fixed point; alternate convexically nonexpansive mapping; Kadec-Klee property;
D O I：
10.1007/s10474-006-0065-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Amini-Harandi proved that alternate convexically nonexpansive mappings on non-empty weakly compact convex subsets of strictly convex Banach spaces have fixed points. We prove that Amini-Harandi's result holds also in Banach spaces with the Kadec--Klee property and the result is true for a larger class of mappings. Moreover, we show that the Alspach mapping in L-1[0,1] is not a 2-alternate convexically nonexpansive mapping.
引用
收藏
页码：85 / 88
页数：4
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