SADDLE PAIRS OF VECTOR-VALUED FUNCTIONS AND CONE-EXTREME POINTS

Mindia E. Salukvadze, Alexander L. Topchishvili and Vilhelm G. Maisuradze
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Mindia E. Salukvadze: A. Eliashvili Institute of Control Systems of Georgian Academy of Science, 34 K. Gamsakhurdia Ave., Tbilisi 380060, Georgia
Alexander L. Topchishvili: A. Eliashvili Institute of Control Systems of Georgian Academy of Science, 34 K. Gamsakhurdia Ave., Tbilisi 380060, Georgia
Vilhelm G. Maisuradze: A. Eliashvili Institute of Control Systems of Georgian Academy of Science, 34 K. Gamsakhurdia Ave., Tbilisi 380060, Georgia

International Journal of Information Technology & Decision Making (IJITDM), 2002, vol. 01, issue 01, 53-72

Abstract: In this paper, different types of saddle pairs of vector-valued functions are investigated. Main properties of these pairs are examined. Structure of images of saddle pair sets is found and these images are constructed by means of cone extreme points in an explicit way as well. The obtained results provide possibility to construct dual problems in general cases of multiple objective problems and to investigate how to solve them using saddle pairs approach.

Keywords: Saddle pairs; vector-valued functions; extreme points (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijitdm:v:01:y:2002:i:01:n:s0219622002000075

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DOI: 10.1142/S0219622002000075

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