On the conversion of optimization problems with Max-Min constraints to standard optimization problems

S. J. Li; Xiaoqi Yang; K. L. Teo

doi:10.1023/A:1017580108556

On the conversion of optimization problems with Max-Min constraints to standard optimization problems

S. J. Li
, Xiaoqi Yang
, K. L. Teo

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

2 Citations (Scopus)

Abstract

In this note, we obtain a sufficient and necessary condition for a point to be a local minimizer of a continuous optimization problem with maximin constraints via the local minimizers of its transformed standard nonlinear optimization problem.

Original language	English
Pages (from-to)	691-698
Number of pages	8
Journal	Journal of Optimization Theory and Applications
Volume	109
Issue number	3
DOIs	https://doi.org/10.1023/A:1017580108556
Publication status	Published - 1 Jun 2001

Keywords

Maximin constraints
Nonlinear programs
Optimization

ASJC Scopus subject areas

Management Science and Operations Research
Applied Mathematics
Control and Optimization

More information

10.1023/A:1017580108556

Cite this

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title = "On the conversion of optimization problems with Max-Min constraints to standard optimization problems",

abstract = "In this note, we obtain a sufficient and necessary condition for a point to be a local minimizer of a continuous optimization problem with maximin constraints via the local minimizers of its transformed standard nonlinear optimization problem.",

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author = "Li, \{S. J.\} and Xiaoqi Yang and Teo, \{K. L.\}",

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AU - Yang, Xiaoqi

AU - Teo, K. L.

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N2 - In this note, we obtain a sufficient and necessary condition for a point to be a local minimizer of a continuous optimization problem with maximin constraints via the local minimizers of its transformed standard nonlinear optimization problem.

AB - In this note, we obtain a sufficient and necessary condition for a point to be a local minimizer of a continuous optimization problem with maximin constraints via the local minimizers of its transformed standard nonlinear optimization problem.

KW - Maximin constraints

KW - Nonlinear programs

KW - Optimization

UR - https://www.scopus.com/pages/publications/0035533695

U2 - 10.1023/A:1017580108556

DO - 10.1023/A:1017580108556

M3 - Journal article

SN - 0022-3239

VL - 109

SP - 691

EP - 698

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 3

ER -

On the conversion of optimization problems with Max-Min constraints to standard optimization problems

Abstract

Keywords

ASJC Scopus subject areas

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