Email this article ON GENERALIZATIONS AND APPLICATIONS OF VARIATIONAL PRINCIPLES OF NONLINEAR ANALYSIS
- Authors: Zhukovskaya Z.T.1, Zhukovskiy S.E.1
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Affiliations:
- RUDN University
- Issue: Vol 23, No 123 (2018)
- Pages: 377-385
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/297242
- DOI: https://doi.org/10.20310/1810-0198-2018-23-123-377-385
- ID: 297242
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Abstract
There are considered some classes of functions to which variational principles of nonlinear are applicable. In particular, it is shown that the Bishop-Phelps variational principle is applicable to some unbounded below functions. The properties of locally Lipschitzian mappings are investigated. Conditions for a mapping that is pseudo-Lipschitzian at every point of its graph to be Lipschitzian are derived.
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Прежде чем изложить постановку задачи и основные результаты, напомним некоторые определения. Пусть (X; ) - метрическое пространство. Положим R := R ∪{-∞;+∞}:×
About the authors
Zukhra Tagirovna Zhukovskaya
RUDN University
Email: zyxra2@yandex.ru
Candidate of Physics and Mathematics, Assistant of the Nonlinear Analysis and Optimization Department 6 Miklukho-Maklaya St., Moscow 117198, Russian Federation
Sergey Evgenyevich Zhukovskiy
RUDN University
Email: s-e-zhuk@yandex.ru
Candidate of Physics and Mathematics, Associate Professor of the Nonlinear Analysis and Optimization Department 6 Miklukho-Maklaya St., Moscow 117198, Russian Federation
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