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. 
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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/

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