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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 143, Pages 63–80 (Mi into263)

This article is cited in 10 papers

Some applications of geometric theory of approximations

I. G. Tsar'kov

Lomonosov Moscow State University

Abstract: We study sets with continuous samples of almost best approximations and discuss applications of the geometric theory of approximations to problems related to samples from multi-valued mappings, existence of fixed points, and smooth solutions of the eikonal equation.

Keywords: continuous sample, sun, fixed point, eikonal equation.

UDC: 517.982.256

MSC: 41A65, 54C65,78A05


 English version:
Journal of Mathematical Sciences (New York), 2020, 245:1, 64–82

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