Frank Deutsch, Hein Hundal, Ludmil Zikatanov
Published 2012-11-06Version 1
The concept of a visible point of a convex set relative to a given point is introduced. A number of basic properties of such visible point sets is developed. In particular, it is shown that this concept is useful in the study of best approximation, and it also seems to have potential value in the study of robotics.
Comments: Keywords and phrases: best approximation from convex sets, visible points in convex sets. 15 pages, 1 figure
A note on the best approximation in spaces of affine functions
On the uniqueness of best approximation in Orlicz spaces
Best approximation in spaces of compact operators
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