Existence of coupled quasi-fixed points for mixed monotone operators and its application to the discontinuous integral equations

被引：1

作者：

Liu, XY ^{[1
]}

Wu, CX ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 112卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

mixed monotone; relatively weakly compact set; coupled quasi-fixed point; integral equation;

D O I：

10.1016/S0096-3003(99)00040-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence theorems of minimal and maximal coupled quasi-fixed points for the complex type mixed monotone operator in partial; order topological spaces are established. As its application, we investigate the existence of the minimal and maximal coupled quasi-solution for the discontinuous Hammerstein integral equation in Banach space. Our results improve and extend some well-known results. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：171 / 180

页数：10

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