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## Gorokhovik, Valentin Vikent’evich

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 Author ID: gorokhovik.valentin-vikentevich Published as: Gorohovik, V.; Gorohovik, V. V.; Gorokhovik, V. V.; Gorokhovik, Valentin V. External Links: Math-Net.Ru · Wikidata · ORCID · dblp
 Documents Indexed: 61 Publications since 1972, including 4 Books Biographic References: 1 Publication
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#### Co-Authors

 19 single-authored 7 Gaĭshun, Ivan Vasil’vich 6 Gorokhovik, Svetlana Ya. 6 Trafimovich, Marina A. 4 Izobov, Nikolaĭ Alekseevich 3 Kirillova, Faina Mihaǐlovna 3 Shinkevich, Elena A. 3 Zabreĭko, Pëtr Petrovich 2 Bakhtin, Victor I. 2 Gabasov, Rafail 2 Lebedev, Andreĭ Vladimirovich 2 Marinković, Boban 2 Rachkovskii, N. N. 2 Semenkova, E. A. 2 Yanovich, Leonid Aleksandrovich 2 Zor’ko, O. I. 1 Akopyan, D. V. 1 Aksent’ev, Leonid Aleksandrovich 1 Amelkin, A. A. 1 Balanov, Zalman I. 1 Bazylev, D. F. 1 Benyash-Krivets, Valeriĭ Vatslavovich 1 Dubatovskaya, Maryna Valer’evna 1 Gireĭko, E. V. 1 Gromak, V. V. 1 Gromak, Valeriĭ Ivanovich 1 Il’in, Vladimir Aleksandrovich 1 Kamachkin, Aleksandr Michaĭlovich 1 Kharin, Yuriĭ Semenovich 1 Kishchenko, M. G. 1 Korzyuk, Viktor Ivanovich 1 Krawcewicz, Wieslaw Z. 1 Malashevich, D. S. 1 Moiseev, Evgeniĭ Ivanovich 1 Nikolskii, S. M. 1 Ovsyannikov, Dmitriĭ Aleksandrovich 1 Petrosyan, Leon Aganesovich 1 Renin, O. A. 1 Rogosin, Sergei V. 1 Rusak, Valentin Nikolaevich 1 Samko, Stefan Grigorievich 1 Simonov, A. Yu. 1 Staravoitava, M. A. 1 Suprunenko, Irina D. 1 Tikohonov, Sergeĭ Viktorovich 1 Trofimovich, M. A. 1 Yurchuk, Nikolay Iossifovich
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#### Serials

 7 Doklady Natsional’noĭ Akademii Nauk Belarusi 6 Trudy Instituta Matematiki 4 Optimization 4 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 3 Doklady Akademii Nauk BSSR 2 Doklady Akademii Nauk Belarusi 2 Vestsi Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk 2 Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika 2 Differential Equations 2 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Notes 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Journal of Optimization Theory and Applications 1 Mathematical Programming Study 1 Siberian Mathematical Journal 1 Soviet Mathematics. Doklady 1 Optimal Control Applications & Methods 1 Soviet Journal of Computer and Systems Sciences 1 Automation and Remote Control 1 Set-Valued Analysis 1 Positivity 1 Algebra and Discrete Mathematics 1 Optimization Letters 1 Discrete and Continuous Dynamical Systems. Series S
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#### Fields

 28 Calculus of variations and optimal control; optimization (49-XX) 24 Operations research, mathematical programming (90-XX) 6 History and biography (01-XX) 6 Systems theory; control (93-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Operator theory (47-XX) 1 Mathematical logic and foundations (03-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 97 times in 63 Documents Cited by Year
Piecewise affine functions and polyhedral sets. Zbl 0816.49011
Gorokhovik, V. V.; Zorko, O. I.
1994
Convex and nonsmooth problems of vector optimization. Zbl 0765.90079
Gorokhovik, V. V.
1990
On methods for converting exhausters of positively homogeneous functions. Zbl 1334.49051
Gorokhovik, Valentin V.; Trafimovich, Marina A.
2016
On Fréchet differentiability of multifunctions. Zbl 1095.49017
Gorokhovik, Valentin V.; Zabreiko, Peter P.
2005
Representations of affine multifunctions by affine selections. Zbl 1147.54010
Gorokhovik, Valentin V.
2008
First and second order necessary optimality conditions for a discrete-time optimal control problem with a vector-valued objective function. Zbl 1271.39001
Gorokhovik, Valentin V.; Gorokhovik, Svetlana Ya.; Marinković, Boban
2013
$$\epsilon$$-quasidifferentiability of real-valued functions and optimality conditions in extremal problems. Zbl 0603.49009
Gorokhovik, V. V.
1986
Characteristic properties of primal exhausters for various classes of positively homogeneous functions. Zbl 1260.41008
Gorokhovik, V. V.; Staravoitava, M. A.
2011
Finite-dimensional optimization problems. Zbl 1316.90001
Gorokhovik, V. V.
2007
High-order necessary optimality conditions for control problems with terminal constraints. Zbl 0512.49015
Gorokhovik, V. V.
1983
On quasidifferentiability of real-valued functions. Zbl 0598.26013
Gorokhovik, V. V.
1982
Positively homogeneous functions revisited. Zbl 1353.49017
Gorokhovik, Valentin V.; Trafimovich, Marina
2016
Necessary optimality conditions for a smooth discrete optimal control problem with vector-valued objective function. Zbl 1180.49018
Gorokhovik, V. V.; Gorokhovik, S. Ya.; Marinković, B.
2009
A criterion of the global epi-Lipschitz property of sets. Zbl 0852.46013
Gorokhovik, V. V.; Gorokhovik, S. Ya.
1995
Polyhedral quasidifferentiability of real-valued functions. Zbl 0834.49011
Gorokhovik, V. V.; Zor’ko, O. I.
1992
On the stability of vector optimization problems. Zbl 0698.49018
Gorokhovik, V. V.; Rachkovskij, N. N.
1990
Quasidifferentiability of real-valued functions and local extremum conditions. Zbl 0569.49005
Gorokhovik, V. V.
1984
First and second order optimality conditions in vector optimization problems with nontransitive preference relation. Zbl 1343.49038
Gorokhovik, V. V.; Trafimovich, M. A.
2016
First and second necessary optimality conditions for a discrete optimal control problem with nontransitive performance index. Zbl 06964028
Gorokhovik, V. V.
2014
First-order optimality conditions in vector optimization problems with a quasidifferentiable objective mapping and a nontransitive preference relation. Zbl 1371.90126
Gorokhovik, V. V.
2013
Optimality conditions in vector optimization problems with a nonsolid cone of positive elements. Zbl 1274.90349
Gorokhovik, V. V.
2012
First and second order optimality conditions for vector optimization problems on metric spaces. Zbl 1231.90328
Bakhtin, V. I.; Gorokhovik, V. V.
2010
On affine selectors of multi-valued maps. Zbl 0949.54020
Gorokhovik, V. V.; Kishchenko, M. G.
2000
Classification of semispaces according to their types in infinite-dimensional vector spaces. Zbl 0933.52004
Gorokhovik, V. V.; Semenkova, E. A.
1998
Sufficient conditions of the first and second order local controllability. Zbl 0771.93008
Gorokhovik, V. V.; Gorokhovik, S. Ya.
1989
Necessary conditions for optimality in matrix impulses for a control problem with terminal constraints. Zbl 0691.49017
Gorokhovik, V. V.
1988
Different forms of the generalized Legendre-Clebsch conditions. Zbl 0503.49012
Gorokhovik, V. V.; Gorokhovik, S. Ya.
1982
On methods for converting exhausters of positively homogeneous functions. Zbl 1334.49051
Gorokhovik, Valentin V.; Trafimovich, Marina A.
2016
Positively homogeneous functions revisited. Zbl 1353.49017
Gorokhovik, Valentin V.; Trafimovich, Marina
2016
First and second order optimality conditions in vector optimization problems with nontransitive preference relation. Zbl 1343.49038
Gorokhovik, V. V.; Trafimovich, M. A.
2016
First and second necessary optimality conditions for a discrete optimal control problem with nontransitive performance index. Zbl 06964028
Gorokhovik, V. V.
2014
First and second order necessary optimality conditions for a discrete-time optimal control problem with a vector-valued objective function. Zbl 1271.39001
Gorokhovik, Valentin V.; Gorokhovik, Svetlana Ya.; Marinković, Boban
2013
First-order optimality conditions in vector optimization problems with a quasidifferentiable objective mapping and a nontransitive preference relation. Zbl 1371.90126
Gorokhovik, V. V.
2013
Optimality conditions in vector optimization problems with a nonsolid cone of positive elements. Zbl 1274.90349
Gorokhovik, V. V.
2012
Characteristic properties of primal exhausters for various classes of positively homogeneous functions. Zbl 1260.41008
Gorokhovik, V. V.; Staravoitava, M. A.
2011
First and second order optimality conditions for vector optimization problems on metric spaces. Zbl 1231.90328
Bakhtin, V. I.; Gorokhovik, V. V.
2010
Necessary optimality conditions for a smooth discrete optimal control problem with vector-valued objective function. Zbl 1180.49018
Gorokhovik, V. V.; Gorokhovik, S. Ya.; Marinković, B.
2009
Representations of affine multifunctions by affine selections. Zbl 1147.54010
Gorokhovik, Valentin V.
2008
Finite-dimensional optimization problems. Zbl 1316.90001
Gorokhovik, V. V.
2007
On Fréchet differentiability of multifunctions. Zbl 1095.49017
Gorokhovik, Valentin V.; Zabreiko, Peter P.
2005
On affine selectors of multi-valued maps. Zbl 0949.54020
Gorokhovik, V. V.; Kishchenko, M. G.
2000
Classification of semispaces according to their types in infinite-dimensional vector spaces. Zbl 0933.52004
Gorokhovik, V. V.; Semenkova, E. A.
1998
A criterion of the global epi-Lipschitz property of sets. Zbl 0852.46013
Gorokhovik, V. V.; Gorokhovik, S. Ya.
1995
Piecewise affine functions and polyhedral sets. Zbl 0816.49011
Gorokhovik, V. V.; Zorko, O. I.
1994
Polyhedral quasidifferentiability of real-valued functions. Zbl 0834.49011
Gorokhovik, V. V.; Zor’ko, O. I.
1992
Convex and nonsmooth problems of vector optimization. Zbl 0765.90079
Gorokhovik, V. V.
1990
On the stability of vector optimization problems. Zbl 0698.49018
Gorokhovik, V. V.; Rachkovskij, N. N.
1990
Sufficient conditions of the first and second order local controllability. Zbl 0771.93008
Gorokhovik, V. V.; Gorokhovik, S. Ya.
1989
Necessary conditions for optimality in matrix impulses for a control problem with terminal constraints. Zbl 0691.49017
Gorokhovik, V. V.
1988
$$\epsilon$$-quasidifferentiability of real-valued functions and optimality conditions in extremal problems. Zbl 0603.49009
Gorokhovik, V. V.
1986
Quasidifferentiability of real-valued functions and local extremum conditions. Zbl 0569.49005
Gorokhovik, V. V.
1984
High-order necessary optimality conditions for control problems with terminal constraints. Zbl 0512.49015
Gorokhovik, V. V.
1983
On quasidifferentiability of real-valued functions. Zbl 0598.26013
Gorokhovik, V. V.
1982
Different forms of the generalized Legendre-Clebsch conditions. Zbl 0503.49012
Gorokhovik, V. V.; Gorokhovik, S. Ya.
1982
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#### Cited in 34 Serials

 9 Optimization 7 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Global Optimization 3 Cybernetics and Systems Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Journal of Computational and Applied Mathematics 2 Systems & Control Letters 2 Positivity 2 Trudy Instituta Matematiki 2 Proceedings of the Steklov Institute of Mathematics 2 Set-Valued and Variational Analysis 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Automatica 1 Functional Analysis and its Applications 1 Annals of Operations Research 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Set-Valued Analysis 1 Journal of Mathematical Sciences (New York) 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Journal of Dynamical and Control Systems 1 Differential Equations 1 Advances in Difference Equations 1 Journal of Industrial and Management Optimization 1 Optimization Letters 1 Advances in High Energy Physics 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 18 Fields

 32 Calculus of variations and optimal control; optimization (49-XX) 31 Operations research, mathematical programming (90-XX) 11 Real functions (26-XX) 8 Convex and discrete geometry (52-XX) 6 Systems theory; control (93-XX) 5 Functional analysis (46-XX) 4 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX)

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