References
- Mordukhovich BS. Variational analysis and generalized differentiation, I: basic theory. Berlin: Springer; 2006.
- Mordukhovich BS, Shao Y. Nonsmooth sequential analysis in Asplund spaces. Trans Am Math Soc. 1996;348:1235–1280. doi: https://doi.org/10.1090/S0002-9947-96-01543-7
- Dempe S, Zemkoho A. The generalized Mangasarian-Fromowitz constraint qualification and optimality conditions for bilevel programs. J Optim Theory Appl. 2011;148:46–68. doi: https://doi.org/10.1007/s10957-010-9744-8
- Burachik RS, Kaya CY, Rizvi MM. A new scalarization technique to approximate pareto fronts of problems with disconnected feasible sets. J Optim Theory Appl. 2014;162:428–446. doi: https://doi.org/10.1007/s10957-013-0346-0
- Clarke FH. Optimization and nonsmooth analysis. 2nd ed. Philadelphia (PA): Society for Industrial and Applied Mathematics (SIAM); 1990. (Classics in Applied Mathematics, Vol. 5).
- Ye JJ, Zhu DL. Optimality conditions for bilevel programming problems. Optimization. 1995;33:9–27. doi: https://doi.org/10.1080/02331939508844060
- Mordukhovich BS, Nam NM. Variational stability and marginal functions via generalized differentiation. Math Oper Res. 2005;30:800–816. doi: https://doi.org/10.1287/moor.1050.0147
- Rochafellar RT, Wets RJ -B. Variational analysis. Berlin: Springer; 1998.
- Mordukhovich BS, Nam NM, Yen ND. Subgradients of marginal functions in parametric mathematical programming. Math Program. 2009;116:369–396. doi: https://doi.org/10.1007/s10107-007-0120-x
- Lafhim L. New optimality conditions and a scalarization approach for a nonconvex semi-vectorial bilevel optimization problem. Positivity (2019). Available from: https://doi.org/10.1007/s11117-019-00685-1.