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On Duality Theorems for Nonsmooth Lipschitz Optimization Problems |
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| Authors: | Kim M. H. Lee G. M. |
| Affiliation: | (1) Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, 212003, China;(2) Department of Applied Mathematics, Dalian University of Technology, Dalian, China |
| Abstract: | A nonsmooth Lipschitz vector optimization problem (VP) is considered. Using the Fritz John type necessary optimality conditions for (VP), we formulate the Mond–Weir dual problem (VD) and establish duality theorems for (VP) and (VD) under (strict) pseudoinvexity assumptions on the functions. Our duality theorems do not require a constraint qualification. |
| Keywords: | Nonsmooth Lipschitz vector optimization problems Fritz John type necessary optimization conditions duality theorems |
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