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Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions

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Abstract

This paper extends the class of generalized type I functions introduced by Aghezzaf and Hachimi(2000) to the context of higher-order case and formulate a number of higher-order duals to a non-differentiable multi-objective programming problem and establishes higher-order duality results under the higher-order generalized type I functions introduced in the present paper. A special case that appears repeatedly in the literature is that the support function is the square root of a positive semi-definite quadratic form. This and other special cases can be readily generated from these results.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science Banaras Hindu University, Varanasi, 221005, India

    S. K. Mishra

  2. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Shouyang Wang

  3. Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Hong Kong, China

    Kin Keung Lai

Authors
  1. S. K. Mishra
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  2. Shouyang Wang
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  3. Kin Keung Lai
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Correspondence to Shouyang Wang.

Additional information

This paper was recommended for publication by Editor Xiaoguang YANG.

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Mishra, S.K., Wang, S. & Lai, K.K. Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions. J Syst Sci Complex 24, 883–891 (2011). https://doi.org/10.1007/s11424-011-8358-z

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  • DOI: https://doi.org/10.1007/s11424-011-8358-z

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