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A converse duality theorem on higher-order dual models in nondifferentiable mathematical programming

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Abstract

We consider in this paper Mond–Weir type higher-order dual models in nondifferentiable mathematical programming introduced by Mishra and Rueda (2002, J. Math. Anal. Appl. 272, 496–506). We give a converse duality theorem on Mond-Weir type higher-order dual model under mild assumptions.

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Authors and Affiliations

  1. Department of Mathematics, Chongqing Normal University, Chongqing, 400047, China

    X. M. Yang

  2. Department of Mathematics and Statistics, Curtin University, Perth, WA, 6845, Australia

    K. L. Teo

Authors
  1. X. M. Yang
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  2. K. L. Teo
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Correspondence to X. M. Yang.

Additional information

This research was partially supported by the National Natural Science Foundation of China (No. 10831009 and 10771228) and The Natural Science Foundation of Chongqing.

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Yang, X.M., Teo, K.L. A converse duality theorem on higher-order dual models in nondifferentiable mathematical programming. Optim Lett 6, 11–15 (2012). https://doi.org/10.1007/s11590-010-0247-1

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  • DOI: https://doi.org/10.1007/s11590-010-0247-1

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