Geodesic
Continuity of a Metric Function and Projection in Asymmetric Spaces
Matematičeskie zametki, Tome 111 (2022) no. 4, pp. 606-615

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The article studies the continuity of left metric functions and the upper semicontinuity of left metric projections onto boundedly sequential left-compact sets in asymmetric spaces. Relationships between the properties of approximative stability and approximative compactness are studied.
Keywords: asymmetric spaces, convex sets, metric function, metric projection. 
@article{MZM_2022_111_4_a11,
     author = {I. G. Tsar'kov},
     title = {Continuity of a {Metric} {Function} and {Projection} in {Asymmetric} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {606--615},
     publisher = {mathdoc},
     volume = {111},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_4_a11/}
}
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I. G. Tsar'kov. Continuity of a Metric Function and Projection in Asymmetric Spaces. Matematičeskie zametki, Tome 111 (2022) no. 4, pp. 606-615. http://geodesic.mathdoc.fr/item/MZM_2022_111_4_a11/