0384691 - ÚTIA 2013 RIV NL eng J - Článek v odborném periodiku
Henrion, R. - Outrata, Jiří - Surowiec, T.
On regular coderivatives in parametric equilibria with non-unique multipliers.
Mathematical Programming. Roč. 136, č. 1 (2012), s. 111-131. ISSN 0025-5610. E-ISSN 1436-4646
Grant CEP: GA AV ČR IAA100750802
Výzkumný záměr: CEZ:AV0Z10750506
Klíčová slova: Parameterized generalized equation * Regular and limiting coderivative * Constant rank CQ * Mathematical program with equilibrium constraint
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.090, rok: 2012 ; AIS: 2.065, rok: 2012
Web výsledku:
http://library.utia.cas.cz/separaty/2012/MTR/outrata-0384691.pdf

DOI: https://doi.org/10.1007/s10107-012-0553-8

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.
Trvalý link: http://hdl.handle.net/11104/0214254