KÜME DEĞERLİ OPTİMİZASYON PROBLEMLERİNİN ZAYIF MİNİMAL ÇÖZÜMLERİ VE BAZI KÜME SIRALAMALARININ KARŞILAŞTIRILMASI ÜZERİNE

Author:

ATASEVER GÜVENÇ İlknur1ORCID

Affiliation:

1. Eskişehir Teknik Üniversitesi

Abstract

In this work, some set order relations are compared with each other. In addition, it is shown that every weak minimal solution of a set valued optimization problem with respect to vector optimization criterion, is also a weak minimal solution with respect to set optimization criterion considering some special set orders.

Funder

Eskişehir Teknik Üniversitesi

Publisher

Anadolu University Journal of Science and Technology – B Theoretical Sciences

Subject

General Medicine

Reference20 articles.

1. [1] Kuroiwa D. Some criteria in set-valued optimization. Investigations on nonlinear analysis and convex analysis. Surikaisekikenkyusho Kokyuroku 1998; 985: 171–176

2. [2] Kuroiwa D. The natural criteria in set-valued optimization. Research on nonlinear analysis and convex analysis. Surikaisekikenkyusho Kokyuroku 1998; 1031: 85–90

3. [3] Kuroiwa D. Some duality theorems of set-valued optimization with natural criteria. In: The International Conference on Nonlinear Analysis and Convex Analysis 1999, World Scientific, River Edge, NJ. 221–228.

4. [4] Kuroiwa D. Existence theorems of set optimization with set-valued maps. J Inf Optim 2003; 24: 73–84.

5. [5] Jahn J, Ha T.X.D. New Order Relations in Set Optimization. J Optimiz Theory App. 2003; 148: 209–236.

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