Reduction of Weak Exhausters and Optimality Conditions via Reduced Weak Exhausters

Mahide Küçük, Ryszard Urbański, Jerzy Grzybowski, Yalçın Küçük (), İlknur Atasever Güvenç, Didem Tozkan and Mustafa Soyertem
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Mahide Küçük: Anadolu University
Ryszard Urbański: Adam Mickiewicz University
Jerzy Grzybowski: Adam Mickiewicz University
Yalçın Küçük: Anadolu University
İlknur Atasever Güvenç: Anadolu University
Didem Tozkan: Anadolu University
Mustafa Soyertem: Uşak University

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 3, No 1, 693-707

Abstract: 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.

Keywords: Exhausters; Weak exhausters; Reduced weak exhausters; Weak subdifferential; Optimality conditions; 49J52; 49K99; 90C26; 90C46 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-014-0592-9

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