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Strong second-order Karush–Kuhn–Tucker optimality conditions for vector optimization
| Content Provider | Scilit |
|---|---|
| Author | Tuyen, Nguyen Van Huy, Nguyen Quang Kim, Do Sang |
| Copyright Year | 2018 |
| Description | In the present paper, we focus on the vector optimization problems with inequality constraints, where objective functions and constrained functions are vector-valued functions with components defined on . By using the second-order symmetric subdifferential and the second-order tangent set, we propose two types of second-order regularity conditions in the sense of Abadie. Then we establish some strong second-order Karush–Kuhn–Tucker necessary optimality conditions for Geoffrion properly efficient solutions of the considered problem. Examples are given to illustrate the obtained results. |
| Related Links | http://arxiv.org/pdf/1612.00142 |
| Ending Page | 120 |
| Page Count | 18 |
| Starting Page | 103 |
| ISSN | 00036811 |
| e-ISSN | 1563504X |
| DOI | 10.1080/00036811.2018.1489956 |
| Journal | Applicable Analysis |
| Issue Number | 1 |
| Volume Number | 99 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2018-06-26 |
| Access Restriction | Open |
| Subject Keyword | Applied Mathematics Boris Mordukhovich Symmetric Second-order Subdifferential Abadie Second-order Regularity Condition Geoffrion Properly Efficient Solution Second-order Karush–kuhn–tucker Optimality Condition |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Analysis |
