| Fenchel-Lagrange Duality and Saddle-Points for Constrained Vector Optimization |
| Received:January 13, 2009 Revised:January 26, 2010 |
| Key Words:
Vector optimization Fenchel-Lagrange duality saddle-points weak efficiency.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10871216) and Innovative Talent Training Project, the Third Stage of ``211 Project'', Chongqing University (Grant No.S-0911). |
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| Abstract: |
| The aim of this paper is to apply a perturbation approach to deal with Fenchel-Lagrange duality based on weak efficiency to a constrained vector optimization problem. Under the stability criterion, some relationships between the solutions of primal problem and the Fenchel-Lagrange duality are discussed. Moreover, under the same condition, two saddle-points theorems are proved. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.01.018 |
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