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

页码：643 / 652

页数：10

共 14 条

[1]

BLUMENTHAL L., 1953, THEORY APPL DISTANCE

[2] ON NONLINEAR CONTRACTIONS [J].