Set-Valued Mappings and its Selections in Game Dynamic Problems
نویسندگان
چکیده
منابع مشابه
Σ-products and selections of set-valued mappings
Every lower semi-continuous closed-and-convex valued mapping Φ : X → 2 , where X is a Σ-product of metrizable spaces and Y is a Hilbert space, has a single-valued continuous selection. This improves an earlier result of the author.
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We study a variant of the Whitney extension problem (1934) for the space Ck,ω(Rn). We identify Ck,ω(Rn) with a space of Lipschitzmappings from Rn into the space Pk × Rn of polynomial fields on Rn equipped with a certain metric. This identification allows us to reformulate the Whitney problem for Ck,ω(Rn) as a Lipschitz selection problem for set-valued mappings into a certain family of subsets o...
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ژورنال
عنوان ژورنال: Kibernetika i vyčislitelʹnaâ tehnika
سال: 2016
ISSN: 0454-9910,2519-2205
DOI: 10.15407/kvt186.04.015