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Gorokhovik, Valentin Vikent'evich

Statistics Math-Net.Ru
Total publications: 24
Scientific articles: 22

Number of views:
This page:3200
Abstract pages:6643
Full texts:2816
References:823
Corresponding member of Academy of Sciences of Belarus
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person19300
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/192409
https://orcid.org/0000-0003-2447-5943

Publications in Math-Net.Ru Citations
2021
1. V. V. Gorokhovik, “High-order tangent vectors to sets and high-order necessary minimality conditions for vector optimization problems”, Tr. Inst. Mat., 29:1-2 (2021),  52–66  mathnet
2020
2. V. V. Gorokhovik, “Step-Affine Functions, Halfspaces, and Separation of Convex Sets with Applications to Convex Optimization Problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  51–70  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 313, suppl. 1 (2021), S83–S99  isi  scopus 1
2019
3. V. V. Gorokhovik, A. S. Tykoun, “Abstract Convexity of Functions with Respect to the Set of Lipschitz (Concave) Functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  73–85  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S36–S46  isi  scopus 4
2018
4. N. A. Izobov, V. V. Gorokhovik, Yu. S. Kharin, L. A. Yanovich, D. F. Bazylev, V. V. Benyash-Krivets, I. D. Suprunenko, S. V. Tikhonov, “V. I . Yanchevskii is 70”, Algebra Discrete Math., 26:1 (2018),  C–F  mathnet
2017
5. V. V. Gorokhovik, “On the representation of upper semicontinuous functions defined on infinite-dimensional normed spaces as lower envelopes of families of convex functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  88–102  mathnet  elib 3
2015
6. V. V. Gorokhovik, M. A. Trafimovich, “Geometrical and analytical characterizations of positively homogeneous functions”, Tr. Inst. Mat., 23:1 (2015),  27–54  mathnet
2014
7. V. V. Gorokhovik, “First and second necessary optimality conditions for a discrete optimal control problem with nontransitive performance index”, Tr. Inst. Mat., 22:1 (2014),  35–50  mathnet 1
8. V. V. Gorokhovik, M. A. Trofimovich, “First and second order optimality conditions in vector optimization problems with nontransitive preference relation”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  81–96  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 91–105  isi  scopus 4
2012
9. V. V. Gorokhovik, “Optimality conditions in vector optimization problems with a nonsolid cone of positive elements”, Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012),  1192–1214  mathnet 3
2011
10. V. V. Gorokhovik, M. A. Starovoitova, “Characteristic properties of primal exhausters for various classes of positively homogeneous functions”, Tr. Inst. Mat., 19:2 (2011),  12–25  mathnet 2
2009
11. V. V. Gorokhovik, S. Ya. Gorokhovik, B. Marinković, “Necessary optimality conditions for a smooth discrete optimal control problem with vector-valued objective function”, Tr. Inst. Mat., 17:1 (2009),  27–40  mathnet  zmath 2
12. V. I. Bakhtin, V. V. Gorokhovik, “Optimality conditions of first and second order in vector optimization problems on metric spaces”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  32–43  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S28–S39  scopus 5
2007
13. E. V. Gireiko, V. V. Gorokhovik, “General existence conditions for maximal elements of ordered sets”, Tr. Inst. Mat., 15:2 (2007),  3–14  mathnet 1
14. V. V. Gorokhovik, “Geometrical and analytical characterizations of piecewise affine mappings”, Tr. Inst. Mat., 15:1 (2007),  22–32  mathnet 1
2006
15. V. V. Gorokhovik, “Second order tangent vectors to sets and minimality conditions for points of subsets of ordered normed spaces”, Tr. Inst. Mat., 14:2 (2006),  35–47  mathnet 5
1998
16. V. V. Gorokhovik, E. A. Semenkova, “Classification of semispaces according to their types in infinite-dimensional vector spaces”, Mat. Zametki, 64:2 (1998),  191–198  mathnet  mathscinet  zmath; Math. Notes, 64:2 (1998), 164–169  isi 2
1984
17. V. V. Gorokhovik, “Quasidifferentiability of real-valued functions and conditions for a local extremum”, Sibirsk. Mat. Zh., 25:3 (1984),  62–70  mathnet  mathscinet  zmath; Siberian Math. J., 25:3 (1984), 388–395  isi 1
1983
18. V. V. Gorokhovik, “Necessary conditions for second-order optimality in problems of control with a vector performance index”, Differ. Uravn., 19:10 (1983),  1672–1680  mathnet  mathscinet 1
1982
19. V. V. Gorokhovik, S. Ya. Gorokhovik, “Different forms of the generalized Legendre-Clebsch conditions”, Avtomat. i Telemekh., 1982, no. 7,  28–33  mathnet  mathscinet  zmath; Autom. Remote Control, 43:7 (1982), 860–865 2
20. V. V. Gorokhovik, “On quasidifferentiability of real-valued functions”, Dokl. Akad. Nauk SSSR, 266:6 (1982),  1294–1298  mathnet  mathscinet  zmath
1972
21. V. V. Gorokhovik, “On the theory of differential $n$-person games”, Differ. Uravn., 8:3 (1972),  424–434  mathnet  mathscinet  zmath
1971
22. V. V. Gorokhovik, F. M. Kirillova, “О линейных дифференциальных играх нескольких лиц”, Upravliaemie systemy, 1971, no. 10,  3–9  mathnet

2018
23. N. A. Izobov, V. V. Gorokhovik, Yu. S. Kharin, L. A. Yanovich, D. F. Bazylev, V. V. Benyash-Krivets, I. D. Suprunenko, S. V. Tikhonov, “Member of the National Academy of Sciences of Belarus V.I. Yanchevskii. Towards the 70th birthday”, Tr. Inst. Mat., 26:1 (2018),  6–8  mathnet
2000
24. R. F. Gabasov, I. V. Gaishun, V. V. Gorokhovik, N. A. Izobov, A. M. Kamachkin, F. M. Kirillova, D. A. Ovsyannikov, L. A. Petrosyan, “Vladimir Ivanovich Zubov”, Differ. Uravn., 36:10 (2000),  1299–1300  mathnet  mathscinet; Differ. Equ., 36:10 (2000), 1433–1435

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