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Hartley Proper Efficiency in Multifunction Optimization

Author

Listed:
  • D. S. Kim

    (Pukyong National University)

  • G. M. Lee

    (Pukyong National University)

  • P. H. Sach

    (Hanoi Institute of Mathematics)

Abstract

This paper gives a necessary condition for the Hartley proper efficiency in a vector optimization problem whose objectives and constraints are described by multifunctions F and G. This condition is established under a quasiconvexity requirement of the support functions of F and G or the generalized cone-convexity of a multifunction constructed from F and G.

Suggested Citation

  • D. S. Kim & G. M. Lee & P. H. Sach, 2004. "Hartley Proper Efficiency in Multifunction Optimization," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 129-145, January.
    • Handle: RePEc:spr:joptap:v:120:y:2004:i:1:d:10.1023_b:jota.0000012736.02360.58
    DOI: 10.1023/B:JOTA.0000012736.02360.58
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    References listed on IDEAS

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    4. Z. F. Li, 1998. "Benson Proper Efficiency in the Vector Optimization of Set-Valued Maps," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 623-649, September.
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