Some new results on certain types of proximinality in Banach spaces
Abstract
In this paper, we prove that any convex set in a normed space is $\varepsilon -$proximinal. Consequently, every subspace in a Banach space is $\varepsilon -$proximinal. Some other results of proximinality in tensor product spaces are given.
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S. Alsuradi, R. Khalil, Some new results on certain types of proximinality in Banach spaces, Adv. Inequal. Appl., 2018 (2018), Article ID 9. https://doi.org/10.28919/aia/3649
Copyright © 2018 S. Alsuradi, R. Khalil. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.