Coradiant sets and -efficiency in multiobjective optimization
JOURNAL OF GLOBAL OPTIMIZATION, vol.68, no.3, pp.587-600, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 68 Issue: 3
- Publication Date: 2017
- Doi Number: 10.1007/s10898-016-0495-4
- Journal Name: JOURNAL OF GLOBAL OPTIMIZATION
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.587-600
- Keywords: Multiobjective optimization, Efficiency, epsilon-Efficiency, Bishop and Phelps coradiant set, Scalarization, EPSILON-DUALITY THEOREM, SADDLE-POINT THEOREMS, APPROXIMATE SOLUTIONS
- Anadolu University Affiliated: Yes
Abstract
This paper studies -efficiency in multiobjective optimization by using the so-called coradiant sets. Motivated by the nonlinear separation property for cones, a similar separation property for coradiant sets is investigated. A new notion, called Bishop-Phelps coradiant set is introduced and some appropriate properties of this set are studied. This paper also introduces the notions of -dual and augmented -dual for Bishop and Phelps coradiant sets. Using these notions, some scalarization and characterization properties for -efficient and proper -efficient points are proposed.