A look at proximinal and Chebyshev sets in Banach spaces

The main aim of this survey is to present some classical as well asrecent characterizations involving the notion of proximinal and Chebyshev sets inBanach spaces. In particular, we discuss the convexity of Chebyshev sets.

Bibliographic Details
Main Authors: Hadi Haghshenas, Amanollah Assadi, T.D. Narang
Format: Article
Language:English
Published: Università degli Studi di Catania 2014-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1006