Abstract

If A and B are two bounded, closed, non-empty, and convex subsets of a normed space X, then the Hausdorff distance between A and B is the same as the Hausdorff distance between the boundary of A and the boundary of B.

Author information

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

Michael D. Wills

Weber State University, Mathematics Department, 1702 University Circle, Ogden, UT 84408-1702, U.S.A.

mwills@weber.edu

Keywords

  • Hausdorff distance
  • convex sets

Mathematics Subject Classification

52A07

Suggested citation

M. D. Wills. “Hausdorff Distance and Convex Sets.” Journal of Convex Analysis 14 (2007), No. 1, 109–117.

Copyright Banach Press 2007