Kolmogorov-conditions for vectorial approximation problems

Kolmogorov-conditions for vectorial approximation problems

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Article ID: iaor19942437
Country: Germany
Volume: 16
Start Page Number: 53
End Page Number: 58
Publication Date: Apr 1994
Journal: OR Spektrum
Authors:
Abstract:

A general vectorial best approximation problem in linear and locally convex topological spaces, respectively, is considered. The approximation is based on so-called vectorial norms. For efficient, weakly efficient and strongly efficient solutions sufficient optimality conditions which can be interpreted as generalized Kolmogorov-conditions are obtained in vectorial as well as scalarized form.

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