References
- Mordukhovich , BS . 2006 . Variational Analysis and Generalized Differentiation , Berlin : Springer .
- Outrata , JV . 1990 . On the numerical solution of a class of Stackelberg problems . Math. Methods Oper. Res. , 34 : 255 – 277 .
- Ye , JJ and Zhu , DL . 1995 . Optimality conditions for bilevel programming problems . Optimization , 33 : 9 – 27 .
- Ye , JJ , Zhu , DL and Zhu , QJ . 1997 . Exact penalization and necessary optimality conditions for generalized bilevel programming problems . SIAM J. Optim. , 7 : 481 – 507 .
- Dempe , S , Dutta , J and Mordukhovich , B . 2007 . New necessary optimality conditions in optimistic bilevel programming . Optimization , 56 : 577 – 604 .
- Ye , JJ and Ye , XY . 1997 . Necessary optimality conditions for optimization problems with variational inequality constraints . Math. Oper. Res. , 22 : 977 – 997 .
- Outrata , JV . 2000 . A generalized mathematical program with equilibrium constraints . SIAM J. Contr. Optim. , 38 : 1623 – 1638 .
- Mordukhovich , BS and Outrata , JV . 2007 . Coderivative analysis of quasi-variational inequalities with applications to stability and optimization . SIAM J. Optim. , 18 : 389 – 412 .
- R. Henrion, J. Outrata and T. Surowiec, Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market, Preprint No. 1433, Weierstrass Institute Berlin, Berlin, Germany, 2009.
- Klatte , D and Kummer , B . 2002 . Constrained minima and Lipschitzian penalties in metric spaces . SIAM J. Optim. , 13 : 619 – 633 .
- Henrion , R and Outrata , J . 2005 . Calmness of constraint systems with applications . Math. Program. , 104 : 437 – 464 .
- T. Surowiec, Explicit stationarity conditions and solution characterization for equilibrium problems with equilibrium constraints, PhD thesis, Humboldt-University Berlin, Germany, 2010.
- Ye , JJ . 2000 . Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints . SIAM J. Optim. , 10 : 943 – 962 .
- Robinson , S . 1981 . Some continuity properties of polyhedral multifunctions . Math. Program. Study , 14 : 206 – 214 .
- Robinson , S . 1980 . Strongly regular generalized equations . Math. Oper. Res. , 5 : 43 – 62 .
- Bergounioux , M and Mignot , F . 2000 . Optimal control of obstacle problems: Existence of Lagrange multipliers . ESAIM Contr. Optim. Calc. Var. , 5 : 45 – 70 .
- Mignot , F and Puel , J-P . 1984 . Optimal control in some variational inequalities . SIAM J. Con. Opt. , 22 : 466 – 476 .
- Ye , JJ and Zhu , D . 2010 . New necessary optimality conditions for bilevel programs by combining the MPEC and value function approaches . SIAM J. Optim. , 20 : 1885 – 1905 .