Best approximation in a class of normed spaces with star-shaped cone

Title: Best approximation in a class of normed spaces with star-shaped cone
Creator: Mohebi, Hossein; Sadeghi, H.; Rubinov, Alex
Date: 2006
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/57034
Identifier: vital:629
Identifier: https://doi.org/10.1080/01630560600686231
Identifier: ISSN:0163-0563
Abstract: We examine best approximation by closed sets in a class of normed spaces with star-shaped cones. It is assumed that the norm on the space X under consideration is generated by a star-shaped cone. First, we study best approximation by downward and upward sets, and then we use the results obtained as a tool for examination of best approximation by an arbitrary closed set.; C1
Publisher: Taylor & Francis
Relation: Numerical Functional Analysis and Optimization Vol. 27, no. 3-4 (Apr-May 2006), p. 411-436
Rights: Copyright Taylor & Francis
Rights: This metadata is freely available under a CCO license
Subject: 0102 Applied Mathematics; Best approximation; Downward sets; Proximinal sets; Relatively downward; Relatively upward sets; Star-shaped set; Upward sets
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