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Mathematics of the USSR-Sbornik, 1990, Volume 65, Issue 2, Pages 323–331
DOI: https://doi.org/10.1070/SM1990v065n02ABEH003609 (Mi sm1789) 		 
Mappings conjugate to multivalued mappings of topological spaces, and their application to dynamical games

V. A. Baidosov
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DOI: https://doi.org/10.1070/SM1990v065n02ABEH003609
Abstract: Associated with multivalued mappings of a topological space $X$ into a topological space $Y$ are conjugate mappings of the set of upper (lower) semicontinuous real functions on $Y$ into the set of real functions on $X$. It is shown that to compactvalued upper semicontinuous mappings of $X$ into $Y$ there correspond mappings of the set of upper (lower) semicontinuous real functions on $Y$ into the set of upper (lower) semicontinuous real functions on $X$.
The properties of the conjugate mappings are studied, and their applications to dynamical games are considered.
Bibliography: 7 titles.
Received: 12.07.1987
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1988, Volume 137(179), Number 3(11), Pages 319–327
Bibliographic databases:
UDC: 515.126.83+517.977.8
MSC: Primary 54C60, 90D25; Secondary 54C65
Language: English
Original paper language: Russian
Citation: V. A. Baidosov, “Mappings conjugate to multivalued mappings of topological spaces, and their application to dynamical games”, Mat. Sb. (N.S.), 137(179):3(11) (1988), 319–327; Math. USSR-Sb., 65:2 (1990), 323–331
Citation in format AMSBIB
\Bibitem{Bai88}
\by V.~A.~Baidosov
\paper Mappings conjugate to multivalued mappings of topological spaces, and their application to dynamical games
\jour Mat. Sb. (N.S.)
\yr 1988
\vol 137(179)
\issue 3(11)
\pages 319--327
\mathnet{http://mi.mathnet.ru/sm1789}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=976514}
\zmath{https://zbmath.org/?q=an:0714.54017|0686.54011}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 65
\issue 2
\pages 323--331
\crossref{https://doi.org/10.1070/SM1990v065n02ABEH003609}
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:364
    Russian version PDF:96
    English version PDF:21
    References:63
     
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