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Zbl 0806.49010
Isac, G.
Pareto optimization in infinite dimensional spaces: The importance of nuclear cones.
(English)
[J] J. Math. Anal. Appl. 182, No.2, 393-404 (1994). ISSN 0022-247X

The concept of nuclear cone was introduced in 1983 by the author of this paper and used to study the existence of Pareto efficient points in vector optimization. This concept has been studied and used also by other authors.\par Now, in this paper we present: a new existence test for Pareto efficient points, a survey of principal properties of nuclear cones, and we define an open problem, too.
[G.Isac]
MSC 2000:
*49J27 Optimal control problems in abstract spaces (existence)

Keywords: Pareto optimization; nuclear cone; Pareto efficient points

Cited in: Zbl 1036.90061

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Highlights
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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