Mathematical programs with vector optimization constraints

Y. C. Liou; Xiaoqi Yang; J. C. Yao

doi:10.1007/s10957-005-4720-4

Mathematical programs with vector optimization constraints

Y. C. Liou, Xiaoqi Yang, J. C. Yao

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

7 Citations (Scopus)

Abstract

In this paper, we introduce mathematical programs with vector optimization constraints. For these problems, we establish two models in both the weak Pareto solution and Pareto solution setting. Some new existence results are obtained under rather weak conditions. We establish also equivalences between mathematical programs with vector optimization constraints and mathematical programs with vector variational inequality constraints.

Original language	English
Pages (from-to)	345-355
Number of pages	11
Journal	Journal of Optimization Theory and Applications
Volume	126
Issue number	2
DOIs	https://doi.org/10.1007/s10957-005-4720-4
Publication status	Published - 1 Aug 2005

Keywords

Mathematical programs with equilibrium constraints
Multiobjective programming
Stackelberg problems
Variational inequalities

ASJC Scopus subject areas

Management Science and Operations Research
Applied Mathematics
Control and Optimization

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10.1007/s10957-005-4720-4

Cite this

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author = "Liou, {Y. C.} and Xiaoqi Yang and Yao, {J. C.}",

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AU - Liou, Y. C.

AU - Yang, Xiaoqi

AU - Yao, J. C.

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N2 - In this paper, we introduce mathematical programs with vector optimization constraints. For these problems, we establish two models in both the weak Pareto solution and Pareto solution setting. Some new existence results are obtained under rather weak conditions. We establish also equivalences between mathematical programs with vector optimization constraints and mathematical programs with vector variational inequality constraints.

AB - In this paper, we introduce mathematical programs with vector optimization constraints. For these problems, we establish two models in both the weak Pareto solution and Pareto solution setting. Some new existence results are obtained under rather weak conditions. We establish also equivalences between mathematical programs with vector optimization constraints and mathematical programs with vector variational inequality constraints.

KW - Mathematical programs with equilibrium constraints

KW - Multiobjective programming

KW - Stackelberg problems

KW - Variational inequalities

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DO - 10.1007/s10957-005-4720-4

M3 - Journal article

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SP - 345

EP - 355

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 2

ER -

Mathematical programs with vector optimization constraints

Abstract

Keywords

ASJC Scopus subject areas

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