Survey on vector complementarity problems

F. Giannessi; G. Mastroeni; Xiaoqi Yang

doi:10.1007/s10898-011-9655-8

Survey on vector complementarity problems

F. Giannessi
, G. Mastroeni
, Xiaoqi Yang

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

4 Citations (Scopus)

Abstract

The paper aims at summarizing the main results on Vector Complementarity Problems (VCP), including the existence of a solution and the relations with Vector Variational Inequalities and Vector Optimization Problems. Particular attention will be given to a VCP with a variable domination structure, where the ordering cone depends on the unknown variable.

Original language	English
Pages (from-to)	53-67
Number of pages	15
Journal	Journal of Global Optimization
Volume	53
Issue number	1
DOIs	https://doi.org/10.1007/s10898-011-9655-8
Publication status	Published - 1 May 2012

Keywords

Minimal element problem
Vector Complementarity Problem
Vector optimization problem
Vector variational inequality

ASJC Scopus subject areas

Computer Science Applications
Control and Optimization
Applied Mathematics
Management Science and Operations Research

More information

10.1007/s10898-011-9655-8

Cite this

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abstract = "The paper aims at summarizing the main results on Vector Complementarity Problems (VCP), including the existence of a solution and the relations with Vector Variational Inequalities and Vector Optimization Problems. Particular attention will be given to a VCP with a variable domination structure, where the ordering cone depends on the unknown variable.",

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AB - The paper aims at summarizing the main results on Vector Complementarity Problems (VCP), including the existence of a solution and the relations with Vector Variational Inequalities and Vector Optimization Problems. Particular attention will be given to a VCP with a variable domination structure, where the ordering cone depends on the unknown variable.

KW - Minimal element problem

KW - Vector Complementarity Problem

KW - Vector optimization problem

KW - Vector variational inequality

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DO - 10.1007/s10898-011-9655-8

M3 - Review article

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JO - Journal of Global Optimization

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IS - 1

ER -

Survey on vector complementarity problems

Abstract

Keywords

ASJC Scopus subject areas

More information

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