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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Format: | Article |
Language: | English |
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2014-01-01
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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). |
format | Article |
id | doaj-art-4435436469a4499ebc72ca1c6672feb7 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |