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Russian Universities Reports. Mathematics, 2019, Volume 24, Issue 125, Pages 112–118
DOI: https://doi.org/10.20310/1810-0198-2019-24-125-112-118 (Mi vtamu102) 		 
Scientific articles

On random equilibrium points

V. V. Obukhovskii, E. N. Getmanova, M. G. Karpov

Voronezh State Pedagogical University
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DOI: https://doi.org/10.20310/1810-0198-2019-24-125-112-118
Abstract: We present a random version of a theorem on equilibrium points for two parametrized multivalued maps satisfying a joint Caristi type condition.
Keywords: random equilibrium point; random fixed point; Caristi's theorem; random multivalued map; measurable multivalued map; Carathéodory multivalued map.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 1.3464.2017/4.6
The work is partially supported by the Ministry of Education and Science of the Russian Federation in the framework of the project part of the state work quota (project no. 1.3464.2017/4.6).
Received: 16.01.2019
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: V. V. Obukhovskii, E. N. Getmanova, M. G. Karpov, “On random equilibrium points”, Russian Universities Reports. Mathematics, 24:125 (2019), 112–118
Citation in format AMSBIB
\Bibitem{ObuGetKar19}
\by V.~V.~Obukhovskii, E.~N.~Getmanova, M.~G.~Karpov
\paper On random equilibrium points
\jour Russian Universities Reports. Mathematics
\yr 2019
\vol 24
\issue 125
\pages 112--118
\mathnet{http://mi.mathnet.ru/vtamu102}
\crossref{https://doi.org/10.20310/1810-0198-2019-24-125-112-118}
\elib{https://elibrary.ru/item.asp?id=37526685}
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