K-epiderivatives for set-valued functions and optimization

K-epiderivatives for set-valued functions and optimization

Exploiting different tangent cones, many derivatives for set-valued functions have been introduced and considered to study optimality. The main goal of the paper is to address a general concept of K-epiderivative and to employ it to develop a quite general scheme for necesary optimality conditions i...

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Veröffentlicht in:Mathematical methods of operations research (Heidelberg, Germany) Germany), 2002-06, Vol.55 (3), p.401-412
Hauptverfasser: Bigi, Giancarlo, Castellani, Marco
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Mathematical functions
Optimization
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Beschreibung
Zusammenfassung:Exploiting different tangent cones, many derivatives for set-valued functions have been introduced and considered to study optimality. The main goal of the paper is to address a general concept of K-epiderivative and to employ it to develop a quite general scheme for necesary optimality conditions in set-valued problems.
ISSN:1432-2994
1432-5217
DOI:10.1007/s001860200187