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On regular coderivatives in parametric equilibria with non-unique multipliers |
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| Authors: | R Henrion J V Outrata T Surowiec |
| Institution: | 1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117, Berlin, Germany 2. Institute of Information Theory and Automation, Pod vod??renskou vez?? 4, 18208, Praha 8, Czech Republic 3. Centre for Informatics and Applied Optimization, University of Ballarat, P.O. Box 663, Ballarat, VIC, 3353, Australia 4. Humboldt University Berlin, Unter den Linden 6, 10099, Berlin, Germany |
| Abstract: | This paper deals with the computation of regular coderivatives of solution maps associated with a frequently arising class of generalized equations (GEs). 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 GEs. The advantages are illustrated by means of examples. |
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