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Mixed symmetric duality in non-differentiable multiobjective mathematical programming |
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| Authors: | SK Mishra SY Wang KK Lai FM Yang |
| Institution: | 1. Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar 263 145, India;2. Institute of Systems Sciences, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 1000800, China;3. Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;4. Department of Mathematics and Informatics, Beijing University of Chemical Technology, Beijing 100029, China |
| Abstract: | Two mixed symmetric dual models for a class of non-differentiable multiobjective nonlinear programming problems with multiple arguments are introduced in this paper. These two mixed symmetric dual models unify the four existing multiobjective symmetric dual models in the literature. Weak and strong duality theorems are established for these models under some mild assumptions of generalized convexity. Several special cases are also obtained. |
| Keywords: | Symmetric duality Non-differentiable nonlinear programming Generalized convexity Support function |
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