A look at proximinal and Chebyshev sets in Banach spaces

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:
Approximatively compact
Proximinality
Chebyshevity
Minimizing sequence.
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1006
id doaj-6840c3425bde414e82b18453a413e418
record_format Article
spelling doaj-6840c3425bde414e82b18453a413e4182020-11-25T01:50:39ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982014-05-016917187881A look at proximinal and Chebyshev sets in Banach spacesHadi HaghshenasAmanollah AssadiT.D. NarangThe 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.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1006Approximatively compactProximinalityChebyshevityMinimizing sequence.
collection DOAJ
language English
format Article
sources DOAJ
author Hadi Haghshenas
Amanollah Assadi
T.D. Narang
spellingShingle Hadi Haghshenas
Amanollah Assadi
T.D. Narang
A look at proximinal and Chebyshev sets in Banach spaces
Le Matematiche
Approximatively compact
Proximinality
Chebyshevity
Minimizing sequence.
author_facet Hadi Haghshenas
Amanollah Assadi
T.D. Narang
author_sort Hadi Haghshenas
title A look at proximinal and Chebyshev sets in Banach spaces
title_short A look at proximinal and Chebyshev sets in Banach spaces
title_full A look at proximinal and Chebyshev sets in Banach spaces
title_fullStr A look at proximinal and Chebyshev sets in Banach spaces
title_full_unstemmed A look at proximinal and Chebyshev sets in Banach spaces
title_sort look at proximinal and chebyshev sets in banach spaces
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2014-05-01
description 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.
topic Approximatively compact
Proximinality
Chebyshevity
Minimizing sequence.
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1006
work_keys_str_mv AT hadihaghshenas alookatproximinalandchebyshevsetsinbanachspaces
AT amanollahassadi alookatproximinalandchebyshevsetsinbanachspaces
AT tdnarang alookatproximinalandchebyshevsetsinbanachspaces
AT hadihaghshenas lookatproximinalandchebyshevsetsinbanachspaces
AT amanollahassadi lookatproximinalandchebyshevsetsinbanachspaces
AT tdnarang lookatproximinalandchebyshevsetsinbanachspaces
_version_ 1725000544539377664

Similar Items