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Super-efficiency of vector optimization in Banach spaces |
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| Authors: | XY Zheng XM Yang |
| Institution: | a Department of Mathematics, Yunnan University, Kunming 650091, PR China b Department of Mathematics, Chongqing Normal University, Chongqing, PR China c Department of Mathematics and Statistics, Curtin University of Technology, Perth Western Australia 6845, Australia |
| Abstract: | Using variational analysis, in terms of the Clarke normal cone, we consider super-efficiency of vector optimization in Banach spaces. We establish some characterizations for super-efficiency. In particular, dropping the assumption that the ordering cone has a bounded base, we extend a result in Borwein and Zhuang J.M. Borwein, D. Zhuang, Super-efficiency in vector optimization, Trans. Amer. Math. Soc. 338 (1993) 105-122] to the nonconvex setting. |
| Keywords: | Vector optimization Super-efficiency Normal cone Semi-subsmoothness |
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