Some Remarks on Dualization in Vector Optimization

✍ Scribed by Hirotaka Nakayama

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 457 KB
• Volume: 5
• Category: Article
• ISSN: 1057-9214
• DOI: 10.1002/(sici)1099-1360(199609)5:3<218::aid-mcda86>3.0.co;2-v

✦ Synopsis

In recent years there have been several reports on duality in vector optimization. However, there seems to be no unified approach to dualization. In a previous paper by the author a geometric consideration was given to duality in non-linear vector optimization. In this paper a relationship between duality, stability (normality) and condition of the alternative will be reported on the basis of some geometric consideration. In addition, Iserman's duality in linear cases will be derived from the stated geometric approach.