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International Journal of Mathematics and Mathematical Sciences
Volume 2009, Article ID 194876, 9 pages
Research Article

New Characterization for Nonlinear Weighted Best Simultaneous Approximation

1Department of Mathematics, China Jiliang University, Hangzhou 310018, China
2Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received 29 April 2009; Accepted 31 July 2009

Academic Editor: Rodica Costin

Copyright © 2009 Xianfa Luo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the problem of a wide class of weighted best simultaneous approximation in normed linear spaces, and it establishes a new characterization result for the class of approximation by virtue of the notion of simultaneous regular point.