Abstract
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.
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Russian Text © R. A. Khachatryan, 2019, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2019, No. 1, pp. 60–75.
The research was supported by GKNMON RA in the frames of the joint research project NYSU-SFU-16/1, financed as a result of the international competition TKN MON RA-EGU-YuFU RF-2016
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Khachatryan, R.A. On Continuous Selections of Set-valued Mappings with Almost Convex Values. J. Contemp. Mathemat. Anal. 54, 28–37 (2019). https://doi.org/10.3103/S1068362319010047
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DOI: https://doi.org/10.3103/S1068362319010047