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Second order sufficient optimality conditions in vector optimization |
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| Authors: | Ning E Wen Song Yu Zhang |
| Institution: | 1. Harbin Financial College, Harbin, 150030, China 2. School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, China 3. School of Management, Harbin Normal University, Harbin, 150025, China |
| Abstract: | In this paper, we mainly consider second-order sufficient conditions for vector optimization problems. We first present a second-order sufficient condition for isolated local minima of order 2 to vector optimization problems and then prove that the second-order sufficient condition can be simplified in the case where the constrained cone is a convex generalized polyhedral and/or Robinson??s constraint qualification holds. |
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