S. E. Zhukovskiy, “On continuous selections of finite-valued set-valued mappings”, Eurasian Math. J., 2018, Volume 9, Number 1,Pages <nobr>83

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Short communications

On continuous selections of finite-valued set-valued mappings

S. E. Zhukovskiy^ab

^a Department of Higher Mathematics, Moscow Institute of Physics and Technology (State University), 9 Inststitutskii Per., 141700 Dolgoprudny, Russia
^b Department of Nonlinear Analysis and Optimization, Peoples' Friendship University of Russia, 6 Miklukho-Maklay St., 117198 Moscow, Russia

Abstract: Set-valued mappings with finite images are considered. For these mappings, a theorem on the existence of continuous selections is proved.

Keywords and phrases: set-valued mapping, continuous selection.

MSC: 54C60

Received: 09.09.2017

Language: English