On fixed point theorems of mixed monotone operators and applications

被引：24

作者：

Zhang, Zhitao ^{[1
]}

Wang, Kelei ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Fixed points; Mixed monotone operators; Cone; Partial order;

D O I：

10.1016/j.na.2008.04.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain some new existence and uniqueness theorems of positive fixed point of mixed monotone operators in Banach spaces partially ordered by a cone. Finally we apply the main theorem to a nonlinear parabolic partial differential equation. Some results are new even for increasing or decreasing operators. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3279 / 3284

页数：6

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