On property-$$(P_1)$$ and semi-continuity properties of restricted Chebyshev-center maps in $$\ell _{\infty }$$-direct sums
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s41478-023-00647-7.pdf
Reference17 articles.
1. Alimov, A.R., and I.G. Tsar’kov. 2019. The Chebyshev center of a set, the Jung constant, and their applications. Uspekhi Mat. Nauk 74 (5(449)): 3–82. https://doi.org/10.4213/rm9839.
2. Amir, Dan. 1978. Chebyshev centers and uniform convexity. Pac. J. Math. 77 (1): 1–6.
3. Amir, Dan, Jaroslav Mach, and Klaus Saatkamp. 1982. Existence of Chebyshev centers, best $$n$$-nets and best compact approximants. Trans. Amer. Math. Soc. 271 (2): 513–524. https://doi.org/10.2307/1998896.
4. Dutta, S. and Darapaneni Narayana. 2007. Strongly proximinal subspaces in Banach spaces. In Function spaces, Contemp. Math., vol. 435, pages 143–152. Providence: American Mathematical Society. https://doi.org/10.1090/conm/435/08372.
5. Godefroy, G., and V. Indumathi. 1999. Proximinality in subspaces of $$c_0$$. J. Approx. Theory 101 (2): 175–181. https://doi.org/10.1006/jath.1999.3382.
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