Title
On regular coderivatives in parametric equilibria with non-unique multipliers.
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.
Year
DOI
Venue
2012
10.1007/s10107-012-0553-8
Math. Program.
Keywords
Field
DocType
Parameterized generalized equation, Regular and limiting coderivative, Constant rank CQ, Mathematical program with equilibrium constraint, 49J53, 90C31, 90C46
Discrete mathematics,Mathematical optimization,Linear independence,Regular polygon,Parametric statistics,Optimization problem,Mathematics,Computation
Journal
Volume
Issue
ISSN
136
1
1436-4646
Citations 
PageRank 
References 
7
0.76
10
Authors
3
Name
Order
Citations
PageRank
René Henrion130529.65
Jirí V. Outrata222825.98
T. Surowiec3182.48