Accession Number:

AD0744324

Title:

Lower Semicontinuity of Multivalued Linearization Mappings.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1972-04-01

Pagination or Media Count:

16.0

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

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE