Geodesic
Weakly monotone sets and continuous selection in asymmetric spaces
Sbornik. Mathematics, Tome 210 (2019) no. 9, pp. 1326-1347

Voir la notice de l'article provenant de la source Math-Net.Ru

Sets admitting a continuous selection from the set of near best approximations are studied. Applications of the geometric theory of approximation to the existence of continuous selections for the sets of $n$-link piecewise linear functions, $n$-link piecewise polynomial functions and generalizations thereof are also discussed. Bibliography: 23 titles.
Keywords: continuous selection, sun, fixed point. 
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     author = {I. G. Tsar'kov},
     title = {Weakly monotone sets and continuous selection in asymmetric spaces},
     journal = {Sbornik. Mathematics},
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     publisher = {mathdoc},
     volume = {210},
     number = {9},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2019_210_9_a5/}
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I. G. Tsar'kov. Weakly monotone sets and continuous selection in asymmetric spaces. Sbornik. Mathematics, Tome 210 (2019) no. 9, pp. 1326-1347. http://geodesic.mathdoc.fr/item/SM_2019_210_9_a5/