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Optimality and duality for multiple-objective optimization under generalized type I univexity |
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| Authors: | SK Mishra KK Lai |
| Institution: | a Department of Mathematics, Faculty of Engineering and Technology, Raja Balwant Singh College, Agra 283 105, India b Institute of Systems Science, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China c Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong |
| Abstract: | In this paper, we extend the classes of generalized type I vector-valued functions introduced by Aghezzaf and Hachimi in J. Global Optim. 18 (2000) 91-101] to generalized univex type I vector-valued functions and consider a multiple-objective optimization problem involving generalized type I univex functions. A number of Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible solution to be an efficient solution. The Mond-Weir and general Mond-Weir type duality results are also presented. |
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