Weak sharpness for gap functions in vector variational inequalities

N. J. Huang; J. Li; Xiaoqi Yang

doi:10.1016/j.jmaa.2012.04.081

Weak sharpness for gap functions in vector variational inequalities

N. J. Huang
, J. Li
, Xiaoqi Yang

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

4 Citations (Scopus)

Abstract

In this paper, characterizations of the set of solutions for VVI are presented by using scalarization approaches. The set of solutions of VVI is shown to be the set of weak sharpness for gap functions of some scalarization of VVI and for gap functions of VVI under semi-strong monotonicity. Some examples are given to illustrate these results.

Original language	English
Pages (from-to)	449-457
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	394
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2012.04.081
Publication status	Published - 15 Oct 2012

Keywords

Gap function
Scalarization
Semi-strong monotonicity
Vector variational inequality
Weak sharpness

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.jmaa.2012.04.081

Cite this

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title = "Weak sharpness for gap functions in vector variational inequalities",

abstract = "In this paper, characterizations of the set of solutions for VVI are presented by using scalarization approaches. The set of solutions of VVI is shown to be the set of weak sharpness for gap functions of some scalarization of VVI and for gap functions of VVI under semi-strong monotonicity. Some examples are given to illustrate these results.",

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author = "Huang, \{N. J.\} and J. Li and Xiaoqi Yang",

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T1 - Weak sharpness for gap functions in vector variational inequalities

AU - Huang, N. J.

AU - Li, J.

AU - Yang, Xiaoqi

PY - 2012/10/15

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N2 - In this paper, characterizations of the set of solutions for VVI are presented by using scalarization approaches. The set of solutions of VVI is shown to be the set of weak sharpness for gap functions of some scalarization of VVI and for gap functions of VVI under semi-strong monotonicity. Some examples are given to illustrate these results.

AB - In this paper, characterizations of the set of solutions for VVI are presented by using scalarization approaches. The set of solutions of VVI is shown to be the set of weak sharpness for gap functions of some scalarization of VVI and for gap functions of VVI under semi-strong monotonicity. Some examples are given to illustrate these results.

KW - Gap function

KW - Scalarization

KW - Semi-strong monotonicity

KW - Vector variational inequality

KW - Weak sharpness

UR - https://www.scopus.com/pages/publications/84862024992

U2 - 10.1016/j.jmaa.2012.04.081

DO - 10.1016/j.jmaa.2012.04.081

M3 - Journal article

SN - 0022-247X

VL - 394

SP - 449

EP - 457

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Weak sharpness for gap functions in vector variational inequalities

Abstract

Keywords

ASJC Scopus subject areas

More information

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