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

22 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

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AU - Zheng, X. Y.

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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

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DO - 10.1007/s10898-007-9183-8

M3 - Journal article

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JO - Journal of Global Optimization

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

Abstract

Keywords

ASJC Scopus subject areas

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