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On continuous selections of set-valued mappings with almost convex values. (English. Russian original) Zbl 1425.26021

J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 1, 28-37 (2019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 54, No. 1, 60-75 (2019).
Summary: In this paper, it is proved that through each point of the graph of a continuous setvalued mapping with almost convex and star-like values can be passed a continuous selection of that mapping.

MSC:

26E25 Set-valued functions
49J52 Nonsmooth analysis
46J05 General theory of commutative topological algebras
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References:

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