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
Descriptors:
Subject Categories:
- Operations Research