Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Star-shaped sets
  • separability
  • distance function
  • star-shaped distance
  • best approximation

Mathematics Subject Classification

52A30

Suggested citation

A. M. Rubinov, E. V. Sharikov. “Star-Shaped Separability with Applications.” Journal of Convex Analysis 13 (2006), No. 3/4, 849–860.

Copyright Banach Press 2006