Differential and sensitivity properties of gap functions for vector variational inequalities

S. J. Li; Hong Yan; G. Y. Chen

doi:10.1007/s001860200254

Differential and sensitivity properties of gap functions for vector variational inequalities

S. J. Li
, Hong Yan
, G. Y. Chen

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

43 Citations (Scopus)

Abstract

The purpose of this paper is to investigate differential properties of a class of set-valued maps and gap functions involving vector variational inequalities. Relationship between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is established. Optimality conditions of solutions for vector variational inequalities are obtained.

Original language	English
Pages (from-to)	377-391
Number of pages	15
Journal	Mathematical Methods of Operations Research
Volume	57
Issue number	3
DOIs	https://doi.org/10.1007/s001860200254
Publication status	Published - 1 Jan 2003

Keywords

Contingent derivative
Gap function
Vector variational inequalities

ASJC Scopus subject areas

Software
General Mathematics
Management Science and Operations Research

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10.1007/s001860200254

Cite this

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title = "Differential and sensitivity properties of gap functions for vector variational inequalities",

abstract = "The purpose of this paper is to investigate differential properties of a class of set-valued maps and gap functions involving vector variational inequalities. Relationship between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is established. Optimality conditions of solutions for vector variational inequalities are obtained.",

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AU - Li, S. J.

AU - Yan, Hong

AU - Chen, G. Y.

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N2 - The purpose of this paper is to investigate differential properties of a class of set-valued maps and gap functions involving vector variational inequalities. Relationship between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is established. Optimality conditions of solutions for vector variational inequalities are obtained.

AB - The purpose of this paper is to investigate differential properties of a class of set-valued maps and gap functions involving vector variational inequalities. Relationship between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is established. Optimality conditions of solutions for vector variational inequalities are obtained.

KW - Contingent derivative

KW - Gap function

KW - Vector variational inequalities

UR - https://www.scopus.com/pages/publications/21244446300

U2 - 10.1007/s001860200254

DO - 10.1007/s001860200254

M3 - Journal article

SN - 1432-2994

VL - 57

SP - 377

EP - 391

JO - Mathematical Methods of Operations Research

JF - Mathematical Methods of Operations Research

IS - 3

ER -

Differential and sensitivity properties of gap functions for vector variational inequalities

Abstract

Keywords

ASJC Scopus subject areas

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