Geometry of optimality conditions and constraint qualifications

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1972 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 2, pages 1-18 (issn: 0025-5610, eissn: 1436-4646,

Copyright policy )

Authors: Floyd J. Gould; Jon W. Tolle;

doi: 10.1007/bf01584534

Geometry of optimality conditions and constraint qualifications

- Summary
- Subjects
- Metrics

Abstract

Certain types of necessary optimality conditions for mathematical programming problems are equivalent to corresponding regularity conditions on the constraint set. For any problem, a certain natural optimality condition, dependent upon the particular constraint set, is always satisfied. This condition can be strengthened in numerous ways by invoking appropriate regularity assumptions on the constraint set. Results are presented for Euclidean spaces and some extensions to Banach spaces are given.

Related Organizations

University of North Carolina at Chapel Hill
United States

Keywords

Nonlinear programming

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	39
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average