Gorokhovik Valentin Vikent'evich

Publications in Math-Net.Ru

1. Internal Structure of Convex Sets and Their Faces
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:2 (2025),  55–68
2. 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
3. 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
4. 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
5. V. I . Yanchevskii is 70
   
   Algebra Discrete Math., 26:1 (2018),  C–F
6. 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
7. Geometrical and analytical characterizations of positively homogeneous functions
   
   Tr. Inst. Mat., 23:1 (2015),  27–54
8. First and second necessary optimality conditions for a discrete optimal control problem with nontransitive performance index
   
   Tr. Inst. Mat., 22:1 (2014),  35–50
9. 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
10. Optimality conditions in vector optimization problems with a nonsolid cone of positive elements
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012),  1192–1214
11. Characteristic properties of primal exhausters for various classes of positively homogeneous functions
    
    Tr. Inst. Mat., 19:2 (2011),  12–25
12. Necessary optimality conditions for a smooth discrete optimal control problem with vector-valued objective function
    
    Tr. Inst. Mat., 17:1 (2009),  27–40
13. 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
14. General existence conditions for maximal elements of ordered sets
    
    Tr. Inst. Mat., 15:2 (2007),  3–14
15. Geometrical and analytical characterizations of piecewise affine mappings
    
    Tr. Inst. Mat., 15:1 (2007),  22–32
16. 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
17. Classification of semispaces according to their types in infinite-dimensional vector spaces
    
    Mat. Zametki, 64:2 (1998),  191–198
18. Quasidifferentiability of real-valued functions and conditions for a local extremum
    
    Sibirsk. Mat. Zh., 25:3 (1984),  62–70
19. Necessary conditions for second-order optimality in problems of control with a vector performance index
    
    Differ. Uravn., 19:10 (1983),  1672–1680
20. Different forms of the generalized Legendre-Clebsch conditions
    
    Avtomat. i Telemekh., 1982, no. 7,  28–33
21. On quasidifferentiability of real-valued functions
    
    Dokl. Akad. Nauk SSSR, 266:6 (1982),  1294–1298
22. On the theory of differential $n$-person games
    
    Differ. Uravn., 8:3 (1972),  424–434
23. О линейных дифференциальных играх нескольких лиц
    
    Upravliaemie systemy, 1971, no. 10,  3–9


24. Vasily Ivanovich Bernik (9.01.1947 — 11.01.2026)
    
    Chebyshevskii Sb., 27:1 (2026),  199–200
25. Member of the National Academy of Sciences of Belarus V.I. Yanchevskii. Towards the 70th birthday
    
    Tr. Inst. Mat., 26:1 (2018),  6–8
26. Vladimir Ivanovich Zubov
    
    Differ. Uravn., 36:10 (2000),  1299–1300