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) : Robinson,Stephen M.

Report Date : APR 1972

Pagination or Media Count : 16

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 :   (*MATHEMATICAL PROGRAMMING, MAPPING(TRANSFORMATIONS)), INEQUALITIES, ALGORITHMS, OPTIMIZATION, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE