On a~homotopy method in infinite-dimensional multicriteria problems
Izvestiya. Mathematics , Tome 61 (1997) no. 4, pp. 813-830.

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In this paper we establish the homotopy invariance of an optimum in multicriteria problems.
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V. I. Skalyga. On a~homotopy method in infinite-dimensional multicriteria problems. Izvestiya. Mathematics , Tome 61 (1997) no. 4, pp. 813-830. http://geodesic.mathdoc.fr/item/IM2_1997_61_4_a6/

[1] Bobylev N. A., “O deformatsionnom metode issledovaniya funktsionalov kachestva sistem s beskonechnym chislom stepenei svobody”, Avtomatika i telemekhanika, 1981, no. 7, 11–13 | MR

[2] Bobylev N. A., “O deformatsii funktsionalov, imeyuschikh edinstvennuyu kriticheskuyu tochku”, Matem. zametki, 34:3 (1983), 387–398 | MR | Zbl

[3] Bobylev N. A., “Deformatsionnyi metod issledovaniya zadach nelineinogo programmirovaniya, I”, Avtomatika i telemekhanika, 1989, no. 7, 82–90 | MR | Zbl

[4] Bobylev N. A., “Deformatsionnyi metod issledovaniya zadach nelineinogo programmirovaniya. II”, Avtomatika i telemekhanika, 1989, no. 8, 24–33 | MR | Zbl

[5] Bobylev N. A., Kondakov G. V., “Deformatsionnyi metod issledovaniya negladkikh optimizatsionnykh zadach”, Avtomatika i telemekhanika, 1991, no. 5, 46–57 | MR | Zbl

[6] Barbakadze T. N., Bobylev N. A., Kondakov G. V., “Deformatsionnyi printsip minimuma dlya funktsionalov na banakhovykh prostranstvakh”, Dinamika neodnorodnykh sistem, Sb. trudov VNIISI, no. 15, 1991, 6–15

[7] Skalyga V. I., “O deformatsionnom metode issledovaniya na uslovnyi minimum funktsionalov kachestva sistem s beskonechnym chislom stepenei svobody”, Avtomatika i telemekhanika, 1991, no. 6, 47–55 | MR | Zbl

[8] Skalyga V. I., “Deformatsionnyi metod issledovaniya ekstremalnykh zadach s ogranicheniyami”, Dinamika neodnorodnykh sistem, Sb. trudov VNIISI, no. 14, 1991, 59–63

[9] Skalyga V. I., “Deformatsionnyi metod issledovaniya beskonechnomernykh optimizatsionnykh zadach”, Matem. zametki, 53:2 (1993), 175–176 | MR | Zbl

[10] Skalyga V. I., “Deformatsionnyi metod issledovaniya negladkikh beskonechnomernykh optimizatsionnykh zadach”, Avtomatika i telemekhanika, 1993, no. 11, 66–69 | MR | Zbl

[11] Skalyga V. I., “O deformatsiyakh negladkikh optimizatsionnykh zadach, imeyuschikh izolirovannuyu ekstremal”, Izv. RAN. Ser. matem., 58:4 (1994), 186–193 | Zbl

[12] Klark F., Optimizatsiya i negladkii analiz, Nauka, M., 1988 | MR | Zbl

[13] Oben Zh. P., Ekland I., Prikladnoi nelineinyi analiz, Mir, M., 1988 | MR

[14] Danford N., Shvarts Dzh. T., Lineinye operatory, obschaya teoriya, IL, M., 1962