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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Journal of Optimizat...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Journal of Optimization Theory and Applications
Article . 1992 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Journal of Optimization Theory and Applications
Article . 1991 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 1992
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https://dx.doi.org/10.1007/bf0...
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?-Duality theorem of nondifferentiable nonconvex multiobjective programming

\(\epsilon\)-duality theorem of nondifferentiable nonconvex multiobjective programming
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1991 English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 74, pages 567-568 (issn: 0022-3239, eissn: 1573-2878, Copyright policy )
Authors: Liu, J. C.;

doi: 10.1007/bf00940328 , 10.1007/bf00940466

?-Duality theorem of nondifferentiable nonconvex multiobjective programming

Abstract

Necessary Kuhn-Tucker conditions up to precision ɛ without constraint qualification for ɛ-Pareto optimality of multiobjective programming are derived. This article suggests the establishment of a Wolfe-type ɛ-duality theorem for nondifferentiable, nonconvex, multiobjective minimization problems. The ɛ-vector Lagrangian and the generalized ɛ-saddle point for Pareto optimality are studied.

Keywords

Nonsmooth analysis, Multi-objective and goal programming

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
56
Top 10%
Top 10%
Average
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