Properly optimal elements in vector optimization with variable ordering structures

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Eichfelder G., KASIMBEYLİ R.

JOURNAL OF GLOBAL OPTIMIZATION, vol.60, no.4, pp.689-712, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.1007/s10898-013-0132-4
  • Journal Name: JOURNAL OF GLOBAL OPTIMIZATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.689-712
  • Keywords: Vector optimization, Variable ordering structure, Proper efficiency, Scalarization, RADIAL EPIDERIVATIVES, SCALARIZATION, EFFICIENCY, RESPECT, THEOREM, POINTS
  • Anadolu University Affiliated: Yes

Abstract

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.