THE EXISTENCE RESULTS OF COUPLED QUASI-SOLUTIONS FOR A CLASS OF OPERATOR EQUATIONS

被引：14

作者：

Cho, Yeol Je ^{[1
,2
]}

He, Guang ^{[3
]}

Huang, Nan-jing ^{[4
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] Neijiang Normal Univ, Dept Math, Neijiang 641112, Sichuan, Peoples R China

[4] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 03期

基金：

中国国家自然科学基金;

关键词：

cone; partial order; mixed monotone operator; relatively weakly compact set; coupled quasi-solutions; FIXED-POINT THEOREMS;

D O I：

10.4134/BKMS.2010.47.3.455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using the semi-order method, two new existence theorems of coupled quasi-solutions for a class of nonlinear operator equations in Banach spaces are proved under some suitable conditions.

引用

页码：455 / 465

页数：11

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