CONTINUITY OF SOME CONVEX-CONE-VALUED MAPPINGS.

Abstract

The authors consider the class C of closed convex cones in a Hilbert space as a topological space and investigate the resulting topological properties of certain mappings into C. They show that with the proper choice of a Hausdorff metric for C the operation of taking the polar cone is an involutory isometry. The operation is considered of taking the positive hull of a finite set of points as a mapping into C and obtain some sufficient conditions for the continuity of this mapping. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0635960

Entities

People

  • David W. Walkup
  • Roger J. B. Wets

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Algebra
  • Banach Space
  • Continuity
  • Convex Sets
  • Functional Analysis
  • Hilbert Space
  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space