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On regular coderivatives in parametric equilibria with non-unique multipliers

Please always quote using this URN:urn:nbn:de:0296-matheon-10296
  • This paper deals with the computation of regular coderivatives of solution maps associated with a frequently arising class of generalized equations. The constraint sets are given by (not necessarily convex) inequalities, and we do not assume linear independence of gradients to active constraints. The achieved results enable us to state several versions of sharp necessary optimality conditions in optimization problems with equilibria governed by such generalized equations. The advantages are illustrated by means of examples.

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Metadaten
Author:Rene Henrion, Jiri Outrata, Thomas Surowiec
URN:urn:nbn:de:0296-matheon-10296
Referee:Werner Römisch
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2012/01/26
Release Date:2012/01/26
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
MSC-Classification:49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Jxx Existence theories / 49J53 Set-valued and variational analysis [See also 28B20, 47H04, 54C60, 58C06]
90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C31 Sensitivity, stability, parametric optimization
90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C46 Optimality conditions, duality [See also 49N15]
Preprint Number:881
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