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论文类型：期刊论文
发表时间：2018-07-01
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.