Geodesic
Two-level optimization problems and penalty functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2003), pp. 49-61.

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V. F. Dem'yanov; F. Fakkinei. Two-level optimization problems and penalty functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2003), pp. 49-61. http://geodesic.mathdoc.fr/item/IVM_2003_12_a3/

[1] Demyanov V. F., Usloviya ekstremuma i variatsionnye zadachi, NII Khimii S.-Peterb. un-ta, SPb, 2000, 136 pp.

[2] Demyanov V. F., Di Pillo G., Facchinei F., “Exact penalization via Dini and Hadamars conditional derivatives”, Optim. Methods and Software, 9:1 (1998), 19–36 | DOI | MR | Zbl

[3] Grossman K., Kaplan A. A., Nelineinoe programmirovanie na osnove bezuslovnoi minimizatsii, Nauka, Novosibirsk, 1981, 184 pp. | Zbl

[4] Eremin I. I., “Metod “shtrafov” v vypuklom programmirovanii”, DAN SSSR, 143:4 (1967), 748–751 | MR

[5] Evtushenko Yu. G., Zhadan V. G., “Tochnye vspomogatelnye funktsii v zadachakh optimizatsii”, Zhurn. vychisl. matem. i matem. fiz., 30:1 (1990), 43–57 | MR

[6] Fedorov V. V., Chislennye metody maksimina, Nauka, M., 1979, 278 pp. | MR

[7] Fiakko A., Mak Kormik D., Metody posledovatelnoi bezuslovnoi minimizatsii, Mir, M., 1972, 264 pp. | Zbl

[8] Di Pillo G., Facchinei F., “Exact penalty functions for nondifferentiable programming problems”, Nonsmooth Optimization and Related Topics, eds. F. H. Clarke, V. F. Demyanov, F. Giannessi, Plenum, New York, 1989, 89–107 | MR

[9] Fletcher R., “Penalty functions”, Math. program.: the State of the Art, eds. A. Bachen, M. Grötschel, B. Korte, Springer-Verlag, Berlin, 1983, 87–114 | MR

[10] Ward D. E., “Exact penalties and sufficient conditions for optimality in nonsmooth optimization”, J. of Optim. Theory and Appl., 57:3 (1988), 485–499 | DOI | MR | Zbl

[11] Zangwill W. I., “Non-linear programming via penalty functions”, Management Sci., 13:5 (1967), 344–358 | DOI | MR | Zbl

[12] Outrata J. V., “Necessary optimality conditions for Stackelberg problems”, J. of Optim. Theory and Appl., 76:2 (1993), 305–320 | DOI | MR | Zbl

[13] Shimizu K., Ishizuka Yo, Bard J. F., Nondifferentiable and two-level mathematical programming, Kluwer Acad. Publ., Dordrecht, 1997, 470 pp. | MR | Zbl

[14] Demyanov V. F., Vasilev L. V., Nedifferentsiruemaya optimizatsiya, Nauka, M., 1981, 383 pp. | MR

[15] Rokafellar R., Vypuklyi analiz, Mir, M., 1973, 472 pp.

[16] Hiriart-Urruty J. B., Lemarechal C., Convex analysis and minimization algorithms, V. I, Springer-Verlag, Berlin, 1993, 420 pp.

[17] Hiriart-Urruty J. B., Lemarechal C., Convex analysis and minimization algorithms, V. II, Springer-Verlag, Berlin, 1993, 348 pp.