Geodesic
Uniformly convex cone spaces and properties of convex sets in them
Matematičeskie zametki, Tome 116 (2024) no. 4, pp. 614-625 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study various approximative properties of convex sets similar to those in Banach spaces in asymmetric uniformly convex cone spaces. It proves possible to transfer results known for Banach spaces to the case of cone spaces. Conditions for the nonemptiness of the intersection of convex bounded closed sets are obtained.
Keywords: asymmetric space, uniformly convex space, extended norm, convex set. 
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I. G. Tsar'kov. Uniformly convex cone spaces and properties of convex sets in them. Matematičeskie zametki, Tome 116 (2024) no. 4, pp. 614-625. http://geodesic.mathdoc.fr/item/MZM_2024_116_4_a9/

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