Geodesic
Mappings conjugate to multivalued mappings of topological spaces, and their application to dynamical games
Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 323-331

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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. 
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     author = {V. A. Baidosov},
     title = {Mappings conjugate to multivalued mappings of topological spaces, and their application to dynamical games},
     journal = {Sbornik. Mathematics},
     pages = {323--331},
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     volume = {65},
     number = {2},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1990_65_2_a2/}
}
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V. A. Baidosov. Mappings conjugate to multivalued mappings of topological spaces, and their application to dynamical games. Sbornik. Mathematics, Tome 65 (1990) no. 2, pp. 323-331. http://geodesic.mathdoc.fr/item/SM_1990_65_2_a2/