Tangent Cones

Johannes Jahn
Additional contact information
Johannes Jahn: Universität Erlangen-Nürnberg, Institut für Angewandte Mathematik

Chapter Chapter 4 in Introduction to the Theory of Nonlinear Optimization, 1996, pp 81-107 from Springer

Abstract: Abstract In this chapter certain approximations of sets are considered which are very useful for the formulation of optimality conditions. We investigate so-called tangent cones which approximate a given set in a local sense. First, we discuss several basic properties of tangent cones, and then we present optimality conditions with the aid of these cones. Finally, we formulate a Lyusternik theorem.

Keywords: Tangent Vector; Positive Real Number; Minimal Point; Convex Cone; Nonempty Subset (search for similar items in EconPapers)
Date: 1996
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-03271-8_4

Ordering information: This item can be ordered from
http://www.springer.com/9783662032718

DOI: 10.1007/978-3-662-03271-8_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().