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The distance to the intersection of two convex sets expressed by the distances to each of them. (English) Zbl 0773.52002
For normed spaces, especially pre-Hilbert spaces, an upper estimate for the distance referred to in the title is given and applied to the intersection of convex set valued maps. Conditions are given which imply that such intersection maps are semicontinuous or Lipschitz.
Reviewer: E.Heil (Darmstadt)

52A05 Convex sets without dimension restrictions (aspects of convex geometry)
52A41 Convex functions and convex programs in convex geometry
26B25 Convexity of real functions of several variables, generalizations
Full Text: DOI
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