Reducing Exhausters

V. Roshchina ()
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V. Roshchina: City University of Hong Kong

Journal of Optimization Theory and Applications, 2008, vol. 136, issue 2, No 7, 273 pages

Abstract: 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.

Keywords: Positively homogeneous functions; Reducing exhausters; Modified convertors (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9296-8

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