Affine Variational Inequalities on Normed Spaces

被引：10

作者：

Nguyen Dong Yen ^{[1
]}

Yang, Xiaoqi ^{[2
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam

[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 178卷 / 01期

关键词：

Infinite-dimensional affine variational inequality; Infinite-dimensional quadratic programming; Infinite-dimensional linear fractional vector optimization; Generalized polyhedral convex set; Solution set; NORMAL CONE MAPPINGS; SOLUTION MAP; SOLUTION SETS; STABILITY; CONTINUITY; COMPONENTS;

D O I：

10.1007/s10957-018-1296-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper studies infinite-dimensional affine variational inequalities on normed spaces. It is shown that infinite-dimensional quadratic programming problems and infinite-dimensional linear fractional vector optimization problems can be studied by using affine variational inequalities. We present two basic facts about infinite-dimensional affine variational inequalities: the Lagrange multiplier rule and the solution set decomposition.

引用

页码：36 / 55

页数：20

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