Lower Semicontinuity of Multivalued Linearization Mappings.

Abstract

Many results in mathematical programming require lower semicontinuity of the multivalued function obtained from a constraint set by replacing the functions defining the set by their linearizations about a point. In this paper the author gives a simple sufficient condition, involving the gradients of the active linearized constraints, for this property to hold. The author shows that this is the weakest possible condition which uses only first-order information at the point in question. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0744324

Entities

People

  • Stephen M. Robinson

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computer Programming
  • Computing-Related Activities
  • Interdisciplinary Science
  • Mathematical Programming
  • Mathematics
  • Operations Research

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Operations Research