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

共 50 条

[1] ITERATIVE METHOD FOR COUPLED QUASI-SOLUTIONS OF MIXED MONOTONE OPERATOR-EQUATIONS
SUN, JX
LIU, LS
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1992, 52 (2-3) : 301 - 308
[2] EXISTENCE OF COUPLED QUASI-SOLUTIONS OF SYSTEMS OF NONLINEAR REACTION DIFFUSION-EQUATIONS
LADDE, GS
LAKSHMIKANTHAM, V
VATSALA, AS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 108 (01) : 249 - 266
[3] Existence of solutions for a class of operator equations
Feng, Xiaojing
[J]. FIXED POINT THEORY AND APPLICATIONS, 2015,
[4] Existence of solutions for a class of operator equations
Xiaojing Feng
[J]. Fixed Point Theory and Applications, 2015
[5] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A CLASS OF OPERATOR EQUATIONS
李寿佛
[J]. Science Bulletin, 1992, (19) : 1585 - 1589
[6] Generalized ε-quasi-solutions in multiobjective optimization problems: Existence results and optimality conditions
Gutierrez, C.
Lopez, R.
Novo, V.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (11) : 4331 - 4346
[7] EXISTENCE OF COUPLED QUASI-SOLUTIONS OF SYSTEMS OF NONLINEAR ELLIPTIC BOUNDARY-VALUE-PROBLEMS
LADDE, GS
LAKSHMIKANTHAM, V
VATSALA, AS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1984, 8 (05) : 501 - 515
[8] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A CLASS OF OPERATOR-EQUATIONS
LI, SF
[J]. CHINESE SCIENCE BULLETIN, 1992, 37 (19): : 1585 - 1589
[9] Iterative method for solutions and coupled quasi-solutions of nonlinear Fredholm integral equations in ordered Banach spaces
Liu, LS
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1996, 27 (10): : 959 - 972
[10] EXISTENCE OF COUPLED WEAK QUASI-SOLUTIONS OF SYSTEMS OF QUASI-LINEAR ELLIPTIC BOUNDARY-VALUE-PROBLEMS
YANG, SX
[J]. ACTA MATHEMATICA SCIENTIA, 1993, 13 (01) : 102 - 110

← 1 2 3 4 5 →