On regular coderivatives in parametric equilibria with non-unique multipliers

Title: On regular coderivatives in parametric equilibria with non-unique multipliers
Creator: Henrion, René; Outrata, Jiri; Surowiec, Thomas
Date: 2012
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/42310
Identifier: vital:5370
Identifier: https://doi.org/10.1007/s10107-012-0553-8
Identifier: ISSN:0025-5610
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.; C1
Relation: Mathematical Programming Vol. 136, no. 1 (December 2012), p. 111-131
Rights: This metadata is freely available under a CCO license
Subject: 0102 Applied Mathematics; Parameterized generalized equation; Regular and limiting coderivative; Constant rank CQ; Mathematical program with equilibrium constraint; Mathematical programs; Variational-inequalities; Optimality conditions; Constraints; Optimization; Multifunctions
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