Abstract
We study sets with continuous selections of almost best approximations and discuss applications of the geometric theory of approximations to problems related to selections from multi-valued mappings, existence of fixed points, and smooth solutions of the eikonal equation.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 143, Differential Equations. Mathematical Analysis, 2017.
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Tsar’kov, I.G. Some Applications of Geometric Theory of Approximations. J Math Sci 245, 64–82 (2020). https://doi.org/10.1007/s10958-020-04677-5
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DOI: https://doi.org/10.1007/s10958-020-04677-5