Higher-order Mond-Weir duality for set-valued optimization

  • Authors:
  • S. J. Li;K. L. Teo;X. Q. Yang

  • Affiliations:
  • College of Mathematics and Science, Chongqing University, Chongqing 400044, China;Department of Mathematics and Statistics, Curtin University of Technology, G.P.O. Box U1987, Perth, WA 6845, Australia;Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

In this paper, we introduce a higher-order Mond-Weir dual for a set-valued optimization problem by virtue of higher-order contingent derivatives and discuss their weak duality, strong duality and converse duality properties.