New fixed point free nonexpansive maps on weakly compact, convex subsets of L1[0,1]

被引：4
作者：
Dowling, P. N. [1 ]
Lennard, C. J.
Turett, B.
机构：
[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA
[2] Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USA
[3] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
STUDIA MATHEMATICA | 2007年 / 180卷 / 03期
关键词：
nonexpansive mapping; fixed point property; convex set; Alspach's map;
D O I：
10.4064/sm180-3-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every subset of L-1[0, 1] that contains the nontrivial intersection of an order interval and finitely many hyperplanes fails to have the fixed point property for nonexpansive mappings.
引用
收藏
页码：271 / 284
页数：14
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