Local Approximation Properties of Sets and Continuous Selections on Them
Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 924-939

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Sets with a continuous selection from the near-best approximation operator are studied and the relationship of such sets with the radial $\delta$-solarity property and with the metric function is discussed.
Keywords: continuous selection, sun, fixed points.
@article{MZM_2019_106_6_a12,
     author = {I. G. Tsar'kov},
     title = {Local {Approximation} {Properties} of {Sets} and {Continuous} {Selections} on {Them}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {924--939},
     publisher = {mathdoc},
     volume = {106},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a12/}
}
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I. G. Tsar'kov. Local Approximation Properties of Sets and Continuous Selections on Them. Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 924-939. http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a12/