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Lagrange Type Optimality Conditions of Constrained Multi-Objective Optimization Problems
YOU Man-Xue,LI Sheng-Jie *
College of Mathematics and Statistics, Chongqing University, Chongqing 401331
*Correspondence author
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Funding: 高等学校博士学科点专项科研基金资助 （No.编号:20120191110031）
Opened online:17 May 2016
Accepted by: none
Citation: YOU Man-Xue,LI Sheng-Jie.Lagrange Type Optimality Conditions of Constrained Multi-Objective Optimization Problems[OL]. [17 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4687572
 
 
This paper aims at investigating Lagrangian type optimality conditions in the context of constrained multi-objective optimization problems via Image Space Analysis. The equivalence between the existence of a regular (linear) separation in the Image Space and the existence of a saddle point for Lagrangian function is derived. Furthermore, we give some examples of regular separation functions, especially we use Gerstewitz function and augmented Lagrangian function to construct nonlinear separation functions.
Keywords:Multi-objective optimization; Image Space Analysis; Regular separation; Saddle point; Optimality condition.
 
 
 

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