Accession Number:

ADA030691

Title:

On Functions Whose Stationary Points Are Global Minima

Descriptive Note:

Technical rept.

Corporate Author:

STANFORD UNIV CA DEPT OF OPERATIONS RESEARCH

Report Date:

1976-07-01

Pagination or Media Count:

22.0

Abstract:

In this paper a characterization of functions whose stationary points are global minima is studied. By considering the level sets of a real function as a point-to-set mapping, and by examining its semi-continuity properties, we obtain a result that a real function, defined on a subset of Rn and satisfying some mild regularity conditions, belongs to the above family if and only if the point-to-set mapping of its level sets is strictly lower semicontinuous. Mathematical programming applications are also mentioned.

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE