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Bulletin of the Australian Mathematical Society
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Bulletin of the Australian Mathematical Society
Article . 1994 . Peer-reviewed
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Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces

Optimality conditions for multiobjective and nonsmooth minimisation in abstract spaces
descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1994 English Publisher:Cambridge University Press (CUP)Journal:Bulletin of the Australian Mathematical Society, volume 50, pages 205-218 (issn: 0004-9727, eissn: 1755-1633, Copyright policy )
Authors: Coladas, L.; Li, Z.; Wang, S.;

doi: 10.1017/s0004972700013678

Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces

Abstract

In this paper we study optimality conditions for an efficient solution in various senses of a general multiobjective optimisation problem in abstract spaces. We utilise properties of the Clarke's generalised differential and properties of a conesubconvexlike function to derive a few necessary and/or sufficient conditions for a feasible solution to be a weak minimum (a minimum, a strong minimum or a proper minimum) of the vector optimisation problem. The results in this paper are extensions and refinements of some known results in vector optimisation.

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Keywords

Programming in abstract spaces, vector minimization, real Banach space, real locally convex separable topological vector space, optimality conditions, efficient solution, Nonsmooth analysis, multiobjective optimization, generalized subdifferential, Duality theory (optimization), 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!
14
Average
Top 10%
Average
bronze