Geodesic
An Example of a Banach Space with Non-Lipschitzian Metric Projection on Any Straight Line
Matematičeskie zametki, Tome 109 (2021) no. 2, pp. 196-205.

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We construct an example of a three-dimensional strictly convex normed space on which the operator of metric projection onto any straight line does not satisfy the Lipschitz condition.
Keywords: Banach space, metric projection, Chebyshev set, Lipschitz condition. 
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L. Sh. Burusheva. An Example of a Banach Space with Non-Lipschitzian Metric Projection on Any Straight Line. Matematičeskie zametki, Tome 109 (2021) no. 2, pp. 196-205. http://geodesic.mathdoc.fr/item/MZM_2021_109_2_a3/

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