Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization

X. X. Huang; Y. P. Fang; Xiaoqi Yang

doi:10.1007/s10957-012-0224-1

Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization

X. X. Huang, Y. P. Fang, Xiaoqi Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

8 Citations (Scopus)

Abstract

In this paper, the nonemptiness and compactness of the solution set of a pseudomonotone vector variational inequality defined in a finite-dimensional space are characterized in terms of that of the solution sets of a family of linearly scalarized variational inequalities.

Original language	English
Pages (from-to)	548-558
Number of pages	11
Journal	Journal of Optimization Theory and Applications
Volume	162
Issue number	2
DOIs	https://doi.org/10.1007/s10957-012-0224-1
Publication status	Published - 1 Jan 2014

Keywords

Pseudomonotonicity
Scalarization
Solution set
Vector optimization
Vector variational inequality

ASJC Scopus subject areas

Applied Mathematics
Control and Optimization
Management Science and Operations Research

More information

10.1007/s10957-012-0224-1

Cite this

@article{b583bcecb4bb45fdbafd62ca92da4a8a,

title = "Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization",

abstract = "In this paper, the nonemptiness and compactness of the solution set of a pseudomonotone vector variational inequality defined in a finite-dimensional space are characterized in terms of that of the solution sets of a family of linearly scalarized variational inequalities.",

keywords = "Pseudomonotonicity, Scalarization, Solution set, Vector optimization, Vector variational inequality",

author = "Huang, {X. X.} and Fang, {Y. P.} and Xiaoqi Yang",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/s10957-012-0224-1",

language = "English",

volume = "162",

pages = "548--558",

journal = "Journal of Optimization Theory and Applications",

issn = "0022-3239",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization

AU - Huang, X. X.

AU - Fang, Y. P.

AU - Yang, Xiaoqi

PY - 2014/1/1

Y1 - 2014/1/1

N2 - In this paper, the nonemptiness and compactness of the solution set of a pseudomonotone vector variational inequality defined in a finite-dimensional space are characterized in terms of that of the solution sets of a family of linearly scalarized variational inequalities.

AB - In this paper, the nonemptiness and compactness of the solution set of a pseudomonotone vector variational inequality defined in a finite-dimensional space are characterized in terms of that of the solution sets of a family of linearly scalarized variational inequalities.

KW - Pseudomonotonicity

KW - Scalarization

KW - Solution set

KW - Vector optimization

KW - Vector variational inequality

UR - http://www.scopus.com/inward/record.url?scp=84905594211&partnerID=8YFLogxK

U2 - 10.1007/s10957-012-0224-1

DO - 10.1007/s10957-012-0224-1

M3 - Journal article

SN - 0022-3239

VL - 162

SP - 548

EP - 558

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 2

ER -

Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this