Coproximinality in the Space of Bounded Functions

As a counterpart to best approximation in Banach spaces, the best coapproximation was introduced by Franchetti and Furi (1972). In this paper, we shall consider the relation between coproximinality of a nonempty subset M of a Banach space X and of C(S, M) in C(S, X).

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Main Authors: Eyad Abu-Sirhan, Zuhier Altawallbeh
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2014/196391
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author Eyad Abu-Sirhan
Zuhier Altawallbeh
author_facet Eyad Abu-Sirhan
Zuhier Altawallbeh
author_sort Eyad Abu-Sirhan
collection DOAJ
description As a counterpart to best approximation in Banach spaces, the best coapproximation was introduced by Franchetti and Furi (1972). In this paper, we shall consider the relation between coproximinality of a nonempty subset M of a Banach space X and of C(S, M) in C(S, X).
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publishDate 2014-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-4435436469a4499ebc72ca1c6672feb72025-02-03T05:52:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/196391196391Coproximinality in the Space of Bounded FunctionsEyad Abu-Sirhan0Zuhier Altawallbeh1Department of Mathematics, Tafila Technical University, Tafila 6610, JordanDepartment of Mathematics, Tafila Technical University, Tafila 6610, JordanAs a counterpart to best approximation in Banach spaces, the best coapproximation was introduced by Franchetti and Furi (1972). In this paper, we shall consider the relation between coproximinality of a nonempty subset M of a Banach space X and of C(S, M) in C(S, X).http://dx.doi.org/10.1155/2014/196391
spellingShingle Eyad Abu-Sirhan
Zuhier Altawallbeh
Coproximinality in the Space of Bounded Functions
International Journal of Mathematics and Mathematical Sciences
title Coproximinality in the Space of Bounded Functions
title_full Coproximinality in the Space of Bounded Functions
title_fullStr Coproximinality in the Space of Bounded Functions
title_full_unstemmed Coproximinality in the Space of Bounded Functions
title_short Coproximinality in the Space of Bounded Functions
title_sort coproximinality in the space of bounded functions
url http://dx.doi.org/10.1155/2014/196391
work_keys_str_mv AT eyadabusirhan coproximinalityinthespaceofboundedfunctions
AT zuhieraltawallbeh coproximinalityinthespaceofboundedfunctions