Reducing exhausters

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

15 Scopus Citations
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Author(s)

  • V. Roshchina

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)261-273
Journal / PublicationJournal of Optimization Theory and Applications
Volume136
Issue number2
Publication statusPublished - Feb 2008

Abstract

The notions of upper and lower exhausters were introduced by Demyanov (Optimization 45:13-29, 1999). Upper and lower exhausters can be employed to study a very wide range of positively homogeneous functions, for example, various directional derivatives of nonsmooth functions. Exhausters are not uniquely defined; hence, the problem of minimality arises naturally. This paper describes some techniques for reducing exhausters, both in size and amount of sets. We define also a modified convertor which provides much more flexibility in converting upper exhausters to lower ones and vice versa, and allows us to obtain much smaller sets. © 2007 Springer Science+Business Media, LLC.

Research Area(s)

  • Modified convertors, Positively homogeneous functions, Reducing exhausters

Citation Format(s)

Reducing exhausters. / Roshchina, V.
In: Journal of Optimization Theory and Applications, Vol. 136, No. 2, 02.2008, p. 261-273.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review