ON THE STRUCTURE OF FIXED POINT SETS OF ASYMPTOTICALLY REGULAR MAPPINGS IN HILBERT SPACES

被引：0
|
作者：
Gornicki, Jaroslaw [1 ]
机构：
[1] Rzeszow Univ Technol, Dept Math, PL-35595 Rzeszow, Poland
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2009年 / 34卷 / 02期
关键词：
Asymptotically regular mapping; retraction; asymptotic center; fixed point; Hilbert space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to prove the following theorem: Let H be a Hilbert space, let C be a nonempty bounded closed convex subset of H and let T: C -> C be an asymptotically regular mapping. If lim(n ->infinity) inf parallel to T(n)parallel to < root 2, then Fix T = {x is an element of C : Tx = x} is a retract of C.
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页码：383 / 389
页数：7
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