The role of matrices that are convergent to zero in the study of semilinear operator systems

被引：148
作者：
Precup, Radu [1 ]
机构：
[1] Univ Babes Bolyai, Dept Appl Math, Cluj Napoca 400084, Romania
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 3-4期
关键词：
Vector-valued norm; Matrix convergent to zero; Fixed point; Krasnoselskii cone fixed point theorem;
D O I：
10.1016/j.mcm.2008.04.006
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we explain the advantage of vector-valued norms and the role of matrices that are convergent to zero in the study of semilinear operator systems by means of some basic methods of nonlinear analysis: the contraction principle, Schauder's fixed point theorem, the Leray-Schauder continuation principle and Krasnoselskii's cone fixed point theorem. A vector version of Krasnoselskii's theorem is also established. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：703 / 708
页数：6
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