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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 377–385
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-377-385 (Mi vtamu36) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Scientific articles

On generalizations and applications of variational principles of nonlinear analysis

Z. T. Zhukovskaya, S. E. Zhukovskiy

RUDN University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-377-385
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.
Keywords: Bishop-Phelps variational principle, pseudo-Lipshitzian mapping.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-2085.2017.1
Russian Foundation for Basic Research 16-01-00677
Russian Science Foundation 17-11-01168
The work was supported by the grant of the President of Russian Federation (Project No. MK-2085.2017.1). The results of Section 1 are due to the first author who was supported by the Russian Science Foundation (Project No. 17-11-01168).
Received: 10.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: Z. T. Zhukovskaya, S. E. Zhukovskiy, “On generalizations and applications of variational principles of nonlinear analysis”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 377–385
Citation in format AMSBIB
\Bibitem{ZhuZhu18}
\by Z.~T.~Zhukovskaya, S.~E.~Zhukovskiy
\paper On generalizations and applications of variational principles of nonlinear analysis
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 377--385
\mathnet{http://mi.mathnet.ru/vtamu36}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-377-385}
\elib{https://elibrary.ru/item.asp?id=36452684}
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