Some new results on certain types of proximinality in Banach spaces

S. Alsuradi, R. Khalil

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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Published: 2018-06-04

How to Cite this Article:

S. Alsuradi, R. Khalil, Some new results on certain types of proximinality in Banach spaces, Advances in Inequalities and Applications, Vol 2018 (2018), Article ID 9

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.

Advances in Inequalities and Applications

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