Properly optimal elements in vector optimization with variable ordering structures

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Eichfelder G., KASIMBEYLİ R.

JOURNAL OF GLOBAL OPTIMIZATION, cilt.60, sa.4, ss.689-712, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s10898-013-0132-4
  • Dergi Adı: JOURNAL OF GLOBAL OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.689-712
  • Anahtar Kelimeler: Vector optimization, Variable ordering structure, Proper efficiency, Scalarization, RADIAL EPIDERIVATIVES, SCALARIZATION, EFFICIENCY, RESPECT, THEOREM, POINTS
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this paper, proper optimality concepts in vector optimization with variable ordering structures are introduced for the first time and characterization results via scalarizations are given. New type of scalarizing functionals are presented and their properties are discussed. The scalarization approach suggested in the paper does not require convexity and boundedness conditions.