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Journal of Industrial & Management Optimization
Article . 2019 . Peer-reviewed
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Journal of Industrial & Management Optimization
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https://dx.doi.org/10.3934/jim...
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Unified optimality conditions for set-valued optimizations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Journal of Industrial and Management Optimization, volume 15, pages 1,101-1,116 (issn: 1547-5816, eissn: 1553-166X, Copyright policy )
Authors: Geng-Hua Li; Sheng-Jie Li;

doi: 10.3934/jimo.2018087

Unified optimality conditions for set-valued optimizations

Abstract

This paper is devoted to the study of unified optimality conditions for constrained set-valued optimization problems via image space analysis. Necessary and sufficient optimality conditions are given in terms of tangent cones of extended image set. By exploiting such results, we analyse the optimality conditions employing different generalized derivatives.

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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!
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