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Pareto optimization in infinite dimensional spaces: The importance of nuclear cones. (English) Zbl 0806.49010

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.

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.

Reviewer: G.Isac

MSC:
49J27Optimal control problems in abstract spaces (existence)