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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
S. M. Puchinin, E. R. Korolkov, F. S. Stonyakin, M. S. Alkousa, A. A. Vyguzov, “Subgradient methods with B.T. Polyak-type step for quasiconvex minimization problems with inequality constraints and analogs of the sharp minimum”, Computer Research and Modeling, 16:1 (2024), 105–122  |
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2023 |
| 2. |
F. S. Stonyakin, O. S. Savchuk, I. V. Baran, M. S. Alkousa, A. A. Titov, “Analogues of the relative strong convexity condition for relatively smooth problems and adaptive gradient-type methods”, Computer Research and Modeling, 15:2 (2023), 413–432 |
| 3. |
F. S. Stonyakin, S. S. Ablaev, I. V. Baran, M. S. Alkousa, “Subgradient methods for weakly convex and relatively weakly convex problems with a sharp minimum”, Computer Research and Modeling, 15:2 (2023), 393–412 |
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| 4. |
M. S. Alkousa, A. V. Gasnikov, E. L. Gladin, I. A. Kuruzov, D. A. Pasechnyuk, F. S. Stonyakin, “Solving strongly convex-concave composite saddle-point problems with low dimension of one group of variable”, Mat. Sb., 214:3 (2023), 3–53  ; Sb. Math., 214:3 (2023), 285–333   |
| 5. |
S. S. Ablaev, F. S. Stonyakin, M. S. Alkousa, A. V. Gasnikov, “Adaptive Subgradient Methods for Mathematical Programming Problems with Quasiconvex Functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:3 (2023), 7–25  ; Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S1–S18 |
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2022 |
| 6. |
S. S. Ablaev, D. V. Makarenko, F. S. Stonyakin, M. S. Alkousa, I. V. Baran, “Subgradient methods for non-smooth optimization problems with some relaxation of sharp minimum”, Computer Research and Modeling, 14:2 (2022), 473–495 |
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| 7. |
O. S. Savchuk, A. A. Titov, F. S. Stonyakin, M. S. Alkousa, “Adaptive first-order methods for relatively strongly convex optimization problems”, Computer Research and Modeling, 14:2 (2022), 445–472 |
| 8. |
F. S. Stonyakin, A. A. Titov, D. V. Makarenko, M. S. Alkousa, “Numerical Methods for Some Classes of Variational Inequalities with Relatively Strongly Monotone Operators”, Mat. Zametki, 112:6 (2022), 879–894 ; Math. Notes, 112:6 (2022), 965–977 |
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2021 |
| 9. |
F. S. Stonyakin, S. S. Ablaev, I. V. Baran, “Adaptive gradient-type methods for optimization problems with relative error and sharp minimum”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021), 175–188 |
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2020 |
| 10. |
F. S. Stonyakin, A. N. Stepanov, A. V. Gasnikov, A. A. Titov, “Mirror descent for constrained optimization problems with large subgradient values of functional constraints”, Computer Research and Modeling, 12:2 (2020), 301–317 |
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| 11. |
F. S. Stonyakin, I. V. Baran, “On some algorithms for constrained optimization problems with relative accuracy with respect to the objective functional”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:3 (2020), 198–210 |
| 12. |
M. S. Alkousa, A. V. Gasnikov, D. M. Dvinskikh, D. A. Kovalev, F. S. Stonyakin, “Accelerated methods for saddle-point problem”, Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020), 1843–1866 ; Comput. Math. Math. Phys., 60:11 (2020), 1787–1809 |
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2019 |
| 13. |
D. A. Pasechnyuk, F. S. Stonyakin, “One method for minimization a convex Lipschitz-continuous function of two variables on a fixed square”, Computer Research and Modeling, 11:3 (2019), 379–395 |
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| 14. |
F. S. Stonyakin, M. Alkousa, A. N. Stepanov, A. A. Titov, “Adaptive mirror descent algorithms for convex and strongly convex optimization problems with functional constraints”, Diskretn. Anal. Issled. Oper., 26:3 (2019), 88–114 ; J. Appl. Industr. Math., 13:3 (2019), 557–574 |
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| 15. |
F. S. Stonyakin, “Hahn–Banach type theorems on functional separation for convex ordered normed cones”, Eurasian Math. J., 10:1 (2019), 59–79 |
| 16. |
F. S. Stonyakin, “An adaptive analog of Nesterov's method for variational inequalities with a strongly monotone operator”, Sib. Zh. Vychisl. Mat., 22:2 (2019), 201–211 ; Num. Anal. Appl., 12:2 (2019), 166–175 |
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| 17. |
F. S. Stonyakin, “Adaptation to inexactness for some gradient-type optimization methods”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:4 (2019), 210–225 |
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| 18. |
F. S. Stonyakin, “On the Adaptive Proximal Method for a Class of Variational Inequalities and Related Problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019), 185–197 ; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S139–S150 |
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| 19. |
A. V. Gasnikov, P. E. Dvurechenskii, F. S. Stonyakin, A. A. Titov, “An adaptive proximal method for variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 59:5 (2019), 889–894 ; Comput. Math. Math. Phys., 59:5 (2019), 836–841 |
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2018 |
| 20. |
F. S. Stonyakin, “A Sublinear Analog of the Banach–Mazur Theorem in Separable Convex Cones with Norm”, Mat. Zametki, 104:1 (2018), 118–130 ; Math. Notes, 104:1 (2018), 111–120 |
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| 21. |
F. S. Stonyakin, “On Sublinear Analogs of Weak Topologies in Normed Cones”, Mat. Zametki, 103:5 (2018), 794–800 ; Math. Notes, 103:5 (2018), 859–864 |
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| 22. |
F. S. Stonyakin, M. S. Alkousa, A. N. Stepanov, M. A. Barinov, “Adaptive mirror descent algorithms in convex programming problems with Lipschitz constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018), 266–279 |
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2017 |
| 23. |
F. S. Stonyakin, “On some problem of set-valued analysis in asymmetric normed spaces”, Taurida Journal of Computer Science Theory and Mathematics, 2017, no. 1, 82–94 |
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2016 |
| 24. |
F. S. Stonyakin, “An analogue of the Hahn–Banach theorem for functionals on abstract convex cones”, Eurasian Math. J., 7:3 (2016), 89–99 |
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| 25. |
F. S. Stonyakin, “Analogs of the Schauder Theorem that Use Anticompacta”, Mat. Zametki, 99:6 (2016), 950–953  ; Math. Notes, 99:6 (2016), 954–958 |
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2015 |
| 26. |
F. S. Stonyakin, “Sequential analogues of the Lyapunov and Krein–Milman theorems in Fréchet spaces”, CMFD, 57 (2015), 162–183 ; Journal of Mathematical Sciences, 225:2 (2017), 322–344 |
| 27. |
F. S. Stonyakin, “Applications of anticompact sets to analogs of Denjoy–Young–Saks and Lebesgue theorems”, Eurasian Math. J., 6:1 (2015), 115–122 |
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2014 |
| 28. |
F. S. Stonyakin, “Anti-compacts and their applications to analogs of Lyapunov and Lebesgue theorems in Frechét spaces”, CMFD, 53 (2014), 155–176 ; Journal of Mathematical Sciences, 218:4 (2016), 526–548 |
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2010 |
| 29. |
I. V. Orlov, F. S. Stonyakin, “The limiting form of the Radon–Nikodym property is true for all Fréchet spaces”, CMFD, 37 (2010), 55–69 ; Journal of Mathematical Sciences, 180:6 (2012), 731–747 |
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2009 |
| 30. |
I. V. Orlov, F. S. Stonyakin, “Compact subdifferentials: the formula of finite increments and related topics”, CMFD, 34 (2009), 121–138 ; Journal of Mathematical Sciences, 170:2 (2010), 251–269 |
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| Presentations in Math-Net.Ru |
| 1. |
Знакомство с негладкой оптимизацией
F. S. Stonyakin
Main scientific seminar of the Innopolis University «Innopolis. Science»
September 30, 2024 17:40
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| 2. |
Gradient-Type Method for Optimization Problems with Polyak-Lojasiewicz Condition: Relative Inexactness in Gradient and Adaptive Parameters Setting
S. M. Puchinin, F. S. Stonyakin, M. S. Alkousa
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 4, 2023 18:05
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| 3. |
Online optimization problems with functional constraints under relative Lipschitz continuity and relative strong convexity conditions
O. S. Savchuk, A. A. Titov, A. V. Gasnikov, F. S. Stonyakin, M. S. Alkousa, R. Zabirova
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 4, 2023 17:40
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| 4. |
Adaptive subgradient methods for mathematical programming problems with quasi-convex functions
S. S. Ablaev, F. S. Stonyakin, M. S. Alkousa, A. V. Gasnikov
The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)
December 4, 2023 15:00
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| 5. |
Правила остановки методов градиентного типа для невыпyклых задач при аддитивных ошибках градиента
F. S. Stonyakin
December 9, 2022 18:40
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| 6. |
Адаптивные методы экстраградиентного типа для вариационных неравенств
F. S. Stonyakin
All-Moscow regular scientific seminar "Control Theory and Optimization"
April 9, 2019 11:30
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| 7. |
Адаптивные методы в негладкой оптимизации
F. S. Stonyakin
Differential equations, analysis and control: theory and applications
April 8, 2019 18:30
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| 8. |
Mirror descent in constrained optimization for convex functionals with nonstandard growth properties
F. S. Stonyakin
October 27, 2017 17:15
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| 9. |
Аналоги задачи о справедливом разделе ресурсов
F. S. Stonyakin
MIPT Interdepartmental Seminar on Discrete Mathematics
October 7, 2015
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| 10. |
Аналоги задачи о справедливом разделе ресурсов
F. S. Stonyakin
October 6, 2015
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| 11. |
О проблеме Радона-Никодима для интеграла Бохнера
F. S. Stonyakin
Infinite dimensional analysis and mathematical physics
October 5, 2015 18:30
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| 12. |
Шкалы банаховых пространств, порождённых выпуклыми антикомпактами и их
приложения к аналогам теорем Ляпунова и Лебега
F. S. Stonyakin
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
February 11, 2015 16:00
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