Optimality and Duality in Nondifferentiable and Multiobjective Programming under Generalized d-Invexity |
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| Authors: | SK Mishra SY Wang KK Lai |
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| Institution: | (1) Department of Mathematics, Statistics and C. Sc, College of Basic Sciences and Humanities, break, G. B. Pant University of Agriculture and Technology, Pantnagar-263 145, India (e-mail;(2) Institute of Systems Science, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100080, China (e-mail;(3) Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Hong~Kong (e-mail |
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| Abstract: | In this paper, we are concerned with the nondifferentiable multiobjective programming problem with inequality constraints. We introduce four new classes of generalized d-type-I functions. By utilizing the new concepts, Antczak type Karush-Kuhn-Tucker sufficient optimality conditions, Mond-Weir type and general Mond-Weir type duality results are obtained for non-differentiable and multiobjective programming. |
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| Keywords: | duality generalized d-Invexity multiobjective programming optimality break pareto efficient solution |
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