Optimality conditions for vector optimization problems with non-cone constraints in image space

作     者：Li, Genghua Li, Shengjie 

作者机构：Chongqing Univ Coll Math & Stat Chongqing Peoples R China 

出 版 物：《APPLICABLE ANALYSIS》 (适用分析)

年 卷 期：2020年第99卷第4期

页      面：611-626页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Natural Science Foundation of China [11171362  11571055] 

主　　题：Jen-Chih Yao Nonlinear scalarization function separation function Lagrange-type optimality condition penalization 

摘      要：In this paper, we employ the image space analysis method to investigate a vector optimization problem with non-cone constraints. First, we use the linear and nonlinear separation techniques to establish Lagrange-type sufficient and necessary optimality conditions of the given problem under convexity assumptions and generalized Slater condition. Moreover, we give some characterizations of generalized Lagrange saddle points in image space without any convexity assumptions. Finally, we derive the vectorial penalization for the vector optimization problem with non-cone constraints by a general way.