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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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| Authors: | S K Mishra Shouyang Wang Kin Keung Lai |
| Institution: | 1.Department of Mathematics,Faculty of Science Banaras Hindu University,Varanasi,India;2.Institute of Systems Science,Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing,China;3.Department of Management Sciences,City University of Hong Kong,Hong Kong,China |
| 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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