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1. Reduction of Weak Exhausters and Optimality Conditions via Reduced Weak Exhausters.

Author

Küçük, Mahide, Urbański, Ryszard, Grzybowski, Jerzy, Küçük, Yalçın, Güvenç, İlknur, Tozkan, Didem, and Soyertem, Mustafa

Subjects
*SUBDIFFERENTIALS, *CONVEX functions, *NONSMOOTH optimization, *MATHEMATICAL optimization, *COMPRESSORS
Abstract

In this work, it is proved that weak exhausters of a positively homogeneous function can be reduced if weak subdifferential/superdifferential can be represented as the sum of a subset of it and weak subdifferential of zero function. It is also shown that weak exhausters can be reduced if this subset is the set of minimal elements of weak subdifferential/superdifferential with respect to weak subdifferential of zero function. At the end, some optimality conditions are given using reduced weak exhausters. [ABSTRACT FROM AUTHOR]

Published
2015
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