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Zbl 1227.90036
Studniarski, Marcin
Weak sharp minima in multiobjective optimization.
(English)
[J] Control Cybern. 36, No. 4, 925-937 (2007). ISSN 0324-8569

Summary: We extend some necessary and sufficient conditions for strict local Pareto minima of order $m$ obtained by {\it B. Jiménez} [J. Math. Anal. Appl. 265, No.~2, 264--284 (2002; Zbl 1010.90075)] to the case of weak $\psi$-sharp local Pareto minima, i.e., to the case when the local solution is not necessarily unique.
MSC 2000:
*90C29 Multi-objective programming, etc.
90C46 Optimality conditions, duality

Keywords: weak $\psi$-sharp Pareto minima; nonsmooth functions; multiobjective optimization

Citations: Zbl 1010.90075

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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