ASYMPTOTIC BEHAVIOR OF NONEXPANSIVE MAPPINGS IN FINITE DIMENSIONAL NORMED SPACES

被引：0
作者：
Lins, Brian [1 ]
机构：
[1] Hampden Sydney Coll, Dept Math & Comp Sci, Hampden Sydney, VA 23943 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 07期
关键词：
NON-EXPANSIVE MAPPINGS; BANACH-SPACES; ITERATIONS; MAPS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If X is a finite dimensional real normed space, C is a closed convex subset of X and f : C -> C is nonexpansive with respect to the norm on X, then we show that either f has a fixed point in C or there is a linear functional phi is an element of X* such that lim(k ->infinity) phi(f(k)(x)) = infinity for all x is an element of C.
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页码：2387 / 2392
页数：6
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