Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications

被引：22

作者：

Nguyen Xuan Hai ^{[1
]}

Phan Quoc Khanh ^{[2
]}

Nguyen Hong Quan ^{[3
]}

机构：

[1] Posts & Telecommun Inst Technol, Ho Chi Minh City, Vietnam

[2] Int Univ Hochiminh City, Dept Math, Ho Chi Minh City, Vietnam

[3] Informat Technol Coll Hochiminh City, Dept Math, Ho Chi Minh City, Vietnam

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Maximal elements; Nonempty intersections; Coincidence points; Solution existence; GFC-spaces; KKM mappings; Mixed systems of inclusions; Quasi-optimization; Mathematical programs constrained by inclusions; QUASI-EQUILIBRIUM PROBLEMS; MAXIMAL ELEMENT THEOREMS; PRODUCT FC-SPACES; VARIATIONAL-INEQUALITIES; FIXED-POINT; SYSTEM; MINIMAX;

D O I：

10.1016/j.na.2009.06.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a maximal element theorem, an intersection theorem and a coincidence-point theorem in product GFC-spaces. As examples of wide ranges of applications, we first deduce sufficient conditions for the solution existence of a mixed system of inclusions. Then using this we obtain existence results for systems of vector quasi-optimization problems and for multiobjective mathematical programs constrained by systems of inclusions. Our results are shown to improve and include recent ones in the literature. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：6170 / 6181

页数：12

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