Vector complementarity problems with a variable ordering relation

N. J. Huang; Xiaoqi Yang; W. K. Chan

doi:10.1016/j.ejor.2005.06.046

Vector complementarity problems with a variable ordering relation

N. J. Huang
, Xiaoqi Yang
, W. K. Chan

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

31 Citations (Scopus)

Abstract

In this paper, we investigate vector complementarity problems with a variable ordering relation. We establish existence results of a solution of a vector complementarity problem under an inclusive type condition. We obtain equivalence results among a vector complementarity problem, a vector variational inequality problem and other related problems.

Original language	English
Pages (from-to)	15-26
Number of pages	12
Journal	European Journal of Operational Research
Volume	176
Issue number	1
DOIs	https://doi.org/10.1016/j.ejor.2005.06.046
Publication status	Published - 1 Jan 2007

Keywords

Ordered Banach space
Variable ordering relation
Vector complementarity problem
Vector variational inequality

ASJC Scopus subject areas

Information Systems and Management
Management Science and Operations Research
Statistics, Probability and Uncertainty
Applied Mathematics
Modelling and Simulation
Transportation

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10.1016/j.ejor.2005.06.046

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title = "Vector complementarity problems with a variable ordering relation",

abstract = "In this paper, we investigate vector complementarity problems with a variable ordering relation. We establish existence results of a solution of a vector complementarity problem under an inclusive type condition. We obtain equivalence results among a vector complementarity problem, a vector variational inequality problem and other related problems.",

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author = "Huang, \{N. J.\} and Xiaoqi Yang and Chan, \{W. K.\}",

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AB - In this paper, we investigate vector complementarity problems with a variable ordering relation. We establish existence results of a solution of a vector complementarity problem under an inclusive type condition. We obtain equivalence results among a vector complementarity problem, a vector variational inequality problem and other related problems.

KW - Ordered Banach space

KW - Variable ordering relation

KW - Vector complementarity problem

KW - Vector variational inequality

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DO - 10.1016/j.ejor.2005.06.046

M3 - Journal article

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JF - European Journal of Operational Research

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ER -

Vector complementarity problems with a variable ordering relation

Abstract

Keywords

ASJC Scopus subject areas

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