Coproximinality in the Space of Bounded Functions

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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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2014, Vol.2014 (2014), p.100-104
Hauptverfasser: Abu-Sirhan, Eyad, Altawallbeh, Zuhier
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Banach space
Banach spaces
Codes
Functions (mathematics)
Geometry
Mathematical analysis
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Zusammenfassung: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).
ISSN:0161-1712
1687-0425
DOI:10.1155/2014/196391