
Journal of Convex Analysis 14 (2007), No. 1, 109117 Copyright Heldermann Verlag 2007 Hausdorff Distance and Convex Sets Michael D. Wills Weber State University, Mathematics Department, 1702 University Circle, Ogden, UT 844081702, U.S.A. mwills@weber.edu If A and B are two bounded, closed, nonempty, 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. Keywords: Hausdorff distance, convex sets. MSC: 52A07 [ Fulltextpdf (124 KB)] for subscribers only. 