Fenchel-Lagrange Duality and Saddle-Points for Constrained Vector Optimization
Received:January 13, 2009  Revised:January 26, 2010
Key Word: Vector optimization   Fenchel-Lagrange duality   saddle-points   weak efficiency.  
Fund ProjectL: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).
Author NameAffiliation
Pei ZHAO College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China 
Sheng Jie LI College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China 
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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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