A fixed point theorem in partially ordered sets and some applications to matrix equations

被引：1213

作者：

Ran, ACM ^{[1
]}

Reurings, MCB ^{[1
]}

机构：

[1] Vrije Univ Amsterdam, Fac Exacte Wetenschappen, Afdeling Wiskunde, NL-1081 HV Amsterdam, Netherlands

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-03-07220-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An analogue of Banach's fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear and nonlinear matrix equations are discussed.

引用

页码：1435 / 1443

页数：9

共 13 条

[1] ORDER-REVERSING MAPS AND UNIQUE FIXED-POINTS IN COMPLETE LATTICES
BJORNER, A
[J]. ALGEBRA UNIVERSALIS, 1981, 12 (03) : 402 - 403
[2] Blair C., 1979, ALGEBR UNIV, V9, P131
[3] BLAIR C, 1981, ALGEBRA UNIV, V12, P134
[4] On an iteration method for solving a class of nonlinear matrix equations
El-Sayed, SM
Ran, ACM
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2002, 23 (03) : 632 - 645
[5] Gohberg I., 1981, BASIC OPERATOR THEOR
[6] Horn R. A., 1986, Matrix analysis
[7] Lancaster P, 1985, THEORY MATRICES
[8] Ran ACM, 2002, ELECTRON J LINEAR AL, V9, P93, DOI DOI 10.1002/nla.232
[9] REURINGS MCB, IN PRESS LINEAR ALGE
[10] ROZSA P, 1978, Z ANGEW MATH MECH, V58, pT395

← 1 2 →