Geodesic
Some applications of geometric theory of approximations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical analysis, Tome 143 (2017), pp. 63-80.

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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
Mots-clés : eikonal equation. 
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     author = {I. G. Tsar'kov},
     title = {Some applications of geometric theory of approximations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {63--80},
     publisher = {mathdoc},
     volume = {143},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_143_a4/}
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I. G. Tsar'kov. Some applications of geometric theory of approximations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical analysis, Tome 143 (2017), pp. 63-80. http://geodesic.mathdoc.fr/item/INTO_2017_143_a4/