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eng
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Description | In mathematical programming, constraint qualifications are essential elements for duality theory. Recently, necessary and sufficient constraint qualifications for Lagrange duality results have been investigated. Also, surrogate duality enables one to replace the problem by a simpler one in which the constraint function is a scalar one. However, as far as we know, a necessary and sufficient constraint qualification for surrogate duality has not been proposed yet. In this paper, we propose necessary and sufficient constraint qualifications for surrogate duality and surrogate min-max duality, which are closely related with ones for Lagrange duality.
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Subject | mathematical programming
quasiconvex functions
surrogate duality
constraint qualification
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Journal Title |
Journal of Optimization Theory and Applications
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Volume | 152
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Issue | 2
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Start Page | 366
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End Page | 377
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ISSN | 00223239
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Published Date | 2012-02
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DOI | |
DOI Date | 2015-07-14
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NCID | AA00253056
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Publisher | Springer
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NII Type |
Journal Article
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Format |
PDF
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Rights | © Springer Science+Business Media, LLC 2011
The final publication is available at Springer via http://dx.doi.org/10.1007/s10957-011-9893-4.
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Text Version |
著者版
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OAI-PMH Set |
Interdisciplinary Graduate School of Science and Engineering
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