张立卫Liwei Zhang

(教授)

 博士生导师  硕士生导师
学位:博士
性别:男
毕业院校:大连理工大学
所在单位:数学科学学院
电子邮箱:lwzhang@dlut.edu.cn

论文成果

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SECOND-ORDER OPTIMALITY CONDITIONS FOR CONE CONSTRAINED MULTI-OBJECTIVE OPTIMIZATION

发表时间:2019-03-12 点击次数:

论文名称:SECOND-ORDER OPTIMALITY CONDITIONS FOR CONE CONSTRAINED MULTI-OBJECTIVE OPTIMIZATION
论文类型:期刊论文
第一作者:Zhang, Liwei
通讯作者:Zhang, LW (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China.
合写作者:Zhang, Jihong,Zhang, Yule
发表刊物:JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
收录刊物:SCIE
卷号:14
期号:3
页面范围:1041-1054
ISSN号:1547-5816
关键字:Cone constrained multi-objective optimization; second-order optimality conditions; polyhedral cone; second-order cone; semi-definite cone
摘要:The aim of this paper is to develop second-order necessary and second-order sufficient optimality conditions for cone constrained multiobjective optimization. First of all, we derive, for an abstract constrained multi-objective optimization problem, two basic necessary optimality theorems for weak efficient solutions and a second-order sufficient optimality theorem for efficient solutions. Secondly, basing on the optimality results for the abstract problem, we demonstrate, for cone constrained multi-objective optimization problems, the first-order and second-order necessary optimality conditions under Robinson constraint qualification as well as the second-order sufficient optimality conditions under upper second-order regularity for the conic constraint. Finally, using the optimality conditions for cone constrained multi-objective optimization obtained, we establish optimality conditions for polyhedral cone, second-order cone and semi-definite cone constrained multi-objective optimization problems.
发表时间:2018-07-01