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ISSN : 1226-0657

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Vol.10 No.1
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AN APPLICATION OF THE STRING AVERAGING METHOD TOONE-SIDED BEST SIMULTANEOUS APPROXIMATION

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2003, v.10 no.1, pp.49-56
Rhee, Hyang-Joo
Rhee,, H. (2003). AN APPLICATION OF THE STRING AVERAGING METHOD TOONE-SIDED BEST SIMULTANEOUS APPROXIMATION. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 10(1), 49-56.
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Abstract

For (equation omitted) be an ordered <TEX>$\ell$</TEX>(t)-tuple of numbers in｛1,2, …,<TEX>$\ell$</TEX>｝and let Tt be chosen from a finite composition of orthogonal projections (equation omitted) acting on the normed linear space <TEX>$C_1$</TEX>(X) to closed convex subset <TEX>$S(fi_{j}\;^{t})$</TEX> respectively. In this paper, we study the convergence of the sequence (equation omitted) where (equation omitted).

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L<tex> $_1$</tex>approximation, paracontracting

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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