MONOTONE ITERATIVE METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS INVOLVING MIXED MONOTONE OPERATORS

被引：0

作者：

Rus, Mircea-Dan ^{[1
]}

机构：

[1] Tech Univ Cluj Napoca, Dept Math, Fac Automat & Comp Sci, Cluj Napoca 400020, Romania

来源：

FIXED POINT THEORY | 2008年 / 9卷 / 01期

关键词：

Cone; ordered Banach space; mixed monotone operator; positive fixed point; system of nonlinear equations; monotone iterative technique; integral equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and uniqueness of fixed points for systems of mixed monotone operators in a partially ordered Banach space. As an application of the results obtained, the existence and uniqueness of positive solutions for a class of systems of integral equations are presented.

引用

页码：309 / 318

页数：10

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