Geodesic
Modified dual scheme for finite-dimensional and infinite-dimensional convex optimization problems
Dalʹnevostočnyj matematičeskij žurnal, Tome 17 (2017) no. 2, pp. 158-169.

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We consider modified duality methods for the finite0dimensional convex optimization problem and the semi-coercive Signorini problem. Duality relations for the direct and dual problems are given without assuming the solvability of dual problem. 
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E. M. Vikhtenko; G. S. Woo; R. V. Namm. Modified dual scheme for finite-dimensional and infinite-dimensional convex optimization problems. Dalʹnevostočnyj matematičeskij žurnal, Tome 17 (2017) no. 2, pp. 158-169. http://geodesic.mathdoc.fr/item/DVMG_2017_17_2_a3/

[1] A. M. Khludnev, Zadachi teorii uprugosti v negladkikh oblastyakh, Fizmatlit, M., 2010

[2] E. M. Vikhtenko, R. V. Namm, “O metode dvoistvennosti dlya resheniya modelnoi zadachi s treschinoi”, Tr. in-ta matem. i mekh. UrO RAN, 22:1 (2016), 36–43 | MR

[3] K. Grossman, A. A. Kaplan, Nelineinoe programmirovanie na osnove bezuslovnoi optimizatsii, Nauka, Novosibirsk, 1981 | MR

[4] I. V. Konnov, Nelineinaya optimizatsiya i variatsionnye neravenstva, Izd-vo Kazanskogo gos. un-ta, Kazan, 2013

[5] E. A. Mukhacheva, G. I. Rubinshtein, Matematicheskoe programmirovanie, Nauka, Novosibirsk, 1987 | MR

[6] E. G. Golshtein, N. V. Tretyakov, Modifitsirovannye funktsii Lagranzha, Nauka, M., 1989 | MR

[7] A. V. Zhiltsov, R. V. Namm, “Metod mnozhitelei Lagranzha v zadache konechnomernogo vypuklogo programmirovaniya”, Dalnevost. matem. zhurn., 15:1 (2015), 53–60 | MR | Zbl

[8] R. V. Namm, E. M. Vikhtenko, Metody vypukloi optimizatsii: uchebnoe posobie, Izd-vo Tikhookean. gos. un-ta, Khabarovsk, 2017

[9] B. T. Polyak, Vvedenie v optimizatsiyu, Nauka, M, 1983 | MR

[10] E. M. Vikhtenko, N. N. Maksimova, R. V. Namm, “Funktsionaly chuvstvitelnosti v variatsionnykh neravenstvakh mekhaniki i ikh prilozhenie k skhemam dvoistvennosti”, Sibirskii zh. vychisl. matem., 17:1 (2014), 43–52 | MR | Zbl

[11] Robert V. Namm, Gyungsoo Woo, “Sensitivity functionals in convex optimization problem”, Filomat, 30:14 (2016), 3681-3687 | DOI | MR | Zbl