Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces

Xiaoqi Yang; X. Y. Zheng

doi:10.1007/s10898-007-9183-8

Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces

Xiaoqi Yang
, X. Y. Zheng

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

23 Citations (Scopus)

Abstract

In this paper, we introduce and discuss the notion of ε-solutions of vector variational inequalities. Using convex analysis and nonsmooth analysis, we provide some sufficient conditions and necessary conditions for a point to be an ε-solution of vector variational inequalities.

Original language	English
Pages (from-to)	455-462
Number of pages	8
Journal	Journal of Global Optimization
Volume	40
Issue number	1-3
DOIs	https://doi.org/10.1007/s10898-007-9183-8
Publication status	Published - 1 Mar 2008

Keywords

Approximate solution
Optimality condition
Vector variational inequality

ASJC Scopus subject areas

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

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10.1007/s10898-007-9183-8

Cite this

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title = "Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces",

abstract = "In this paper, we introduce and discuss the notion of ε-solutions of vector variational inequalities. Using convex analysis and nonsmooth analysis, we provide some sufficient conditions and necessary conditions for a point to be an ε-solution of vector variational inequalities.",

keywords = "Approximate solution, Optimality condition, Vector variational inequality",

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AU - Zheng, X. Y.

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N2 - In this paper, we introduce and discuss the notion of ε-solutions of vector variational inequalities. Using convex analysis and nonsmooth analysis, we provide some sufficient conditions and necessary conditions for a point to be an ε-solution of vector variational inequalities.

AB - In this paper, we introduce and discuss the notion of ε-solutions of vector variational inequalities. Using convex analysis and nonsmooth analysis, we provide some sufficient conditions and necessary conditions for a point to be an ε-solution of vector variational inequalities.

KW - Approximate solution

KW - Optimality condition

KW - Vector variational inequality

UR - https://www.scopus.com/pages/publications/38849138008

U2 - 10.1007/s10898-007-9183-8

DO - 10.1007/s10898-007-9183-8

M3 - Journal article

SN - 0925-5001

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EP - 462

JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 1-3

ER -

Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

More information

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