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Institute of Information Theory and Automation
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RNDr. Tomáš Roubal, Ph.D.
Position:
Postdoc
Department:
Research interests:
regularity of mapping, Newton method, Ekeland variational principle
Education
2021, PhD, Applied Mathematics, University of West Bohemia
- Thesis title: Openness of Mappings
- Supervisor: Doc. Ing. Radek Cibulka Ph.D.
Employment history
- 2016-2023, junior researcher, New Technologies for the Information Society, University of West Bohemia, Pilsen
- 2023-present, postdoc, ÚTIA, Czech Academy of Sciences
Research profiles
Publication outside ÚTIA
- Cibulka, R., Dontchev, A. L., Preininger, J., Veliov, V., and Roubal, T. Kantorovich-type theorems for generalized equations. J. Convex Anal. 25, 2 (2018), 459--486.
- Cibulka, R., and Roubal, T. Solution stability and path-following for a class of generalized equations. Control systems and mathematical methods in economics, vol. 687 of Lecture Notes in Econom. and Math. Systems. Springer, Cham, 2018, pp. 57--80.
- Cibulka, R., Preininger, J., and Roubal, T. On uniform regularity and strong regularity. Optimization 68, 2-3 (2019), 549--577.
- Cibulka, R., Fabian, M., and Roubal, T. An inverse mapping theorem in Fréchet-Montel spaces. Set-Valued Var. Anal. 28, 1 (2020), 195--208.
- Cibulka, R., and Roubal, T. Ioffe-type criteria in extended quasi-metric spaces. J. Convex Anal. 27, 1 (2020), 207--228.
- Cibulka, R., and Roubal, T. On ranges of non-linear operators. Set-Valued Var. Anal., 30 (2022), 789–810.
- Cibulka, R., and Roubal, T. On ranges of set-valued mappings. J. Math. Anal. Appl. 515, 1 (2022).
- Cibulka, R., and Roubal, T. A quest for simple and unified proofs in regularity theory: Perturbation stability. arXiv.org. https://arxiv.org/abs/2205.12807 (2022)