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Saddle Pairs Of Vector-Valued Functions And Cone-Extreme Points

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mindia E. Salukvadze & Alexander L. Topchishvili & Vilhelm G. Maisuradze, 2002. "Saddle Pairs Of Vector-Valued Functions And Cone-Extreme Points," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 53-72.
    • Handle: RePEc:wsi:ijitdm:v:01:y:2002:i:01:n:s0219622002000075
    DOI: 10.1142/S0219622002000075
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