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СЕМИНАРЫ |
Геометрическая теория оптимального управления
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Approximate necessary optimality conditions without Lipschitzness (Joint work with Patrick Mehlitz) А. Я. Кругер University of Ballarat |
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Аннотация: Approximate necessary optimality conditions in terms of Fréchet subgradients and normals for a general optimization problem with a potentially non-Lipschitzian objective function are discussed. The main tools are Ekeland variational principle, the fuzzy Fréchet subdifferential sum rule, and a novel notion of lower semicontinuity relative to a set. References Kruger, A. Y. and Mehlitz, P.: Optimality conditions, approximate stationarity, and applications – a story beyond Lipschitzness. arXiv 2110.07268 (2021). The research is supported by the Australian Research Council, project DP160100854. Website: https://kafedra-opu.ru/node/658 |