Journal of Convex Analysis 13 (2006), No. 3, 849--860
Copyright Heldermann Verlag 2006
Star-Shaped Separability with Applications
Alex M. Rubinov
CIAO -- SITMS, University of Ballarat, P.O. Box 663, Ballarat, Vic. 3353, Australia
a.rubinov@ballarat.edu.au
Evgenii V. Sharikov
CIAO -- SITMS, University of Ballarat, P.O. Box 663, Ballarat, Vic. 3353, Australia
We discuss the notion of a support collection to a star-shaped set at a certain boundary point and a weak separability of two star-shaped sets. Applications to some problems, including the minimization of a star-shaped distance, are given.
Keywords: Star-shaped sets, separability, distance function, star-shaped distance, best approximation.
MSC: 52A30
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