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Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions |
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| Authors: | S. K. Mishra S. Y. Wang K. K. Lai |
| Affiliation: | (1) Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, G. B. Pant University of Agriculture and Technology, Pantnagar, 263 145, India;(2) Present address: Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;(3) Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China |
| Abstract: | A nonsmooth multiobjective optimization problem involving generalized (F, α, ρ, d)-type I function is considered. Karush–Kuhn–Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality results are obtained for mixed type dual under the aforesaid assumptions. |
| Keywords: | Nonsmooth multiobjective optimization Efficient solution Type I functions Generalized convexity Mixed duality |
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