The existence of a fixed point for the sum of two monotone operators

被引：5
|
作者：
Chen, Yong-Zhuo [1 ]
机构：
[1] Univ Pittsburgh, Dept Math, Bradford, PA 16701 USA
来源：
POSITIVITY | 2008年 / 12卷 / 04期
关键词：
Cone; convex metric space; fixed point; monotone operator; ordered Banach space; Thompson's metric;
D O I：
10.1007/s11117-008-2154-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A and H be two operators defined in an ordered Banach space such that H(tx) > tHx for all t is an element of (0, 1), and A(tx) >= t(alpha) Ax for all t is an element of (0, 1), where alpha is an element of (0, 1). This paper discusses the conditions which will guarantee the existence of an asymptotically attractive fixed point for T = A + H.
引用
收藏
页码：643 / 652
页数：10
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