Metrically Upper Semicontinuous Multifunctions and Their Intersections.

Abstract

We present a variety of methods for establishing metric upper semicontinuity. We give conditions for the intersection of metric upper semicontinuous multifunctions to be metric upper semicontinuous and discuss their applicability. The study of metric upper semicontinuity (stability) is of importance in optimization theory. The report discusses classical and recent techniques of establishing metric upper semicontinuity and provides their extensions. The metric upper semicontinuity of intersections, the importance of which has been recognized only recently, and several applications to optimization problems are discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA083817

Entities

People

  • Szymon Dolecki

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Cyber

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Banach Space
  • Boundaries
  • Continuity
  • Convex Sets
  • Hilbert Space
  • Mathematical Logic
  • Mathematics
  • Military Research
  • Optimization
  • Sensitivity
  • Sequences
  • Theorems
  • United States
  • Universities
  • Wisconsin

Readers

  • Graph Algorithms and Convex Optimization.
  • Mathematical Modeling and Probability Theory.