Optimality Conditions for a Class Lipschitz Multiobjective Programming

摘要：

In this paper, a separation theorem is established firstly. Applying this theorem the relationships between the solutions of a series of inequality systems are discussed. Then a necessary optimality condition without distance function is obtained under a new constraint quali.cation for a multiobjective programming in which all the objective functions and constraint functions are Lipschitz. Finally sufficient conditions are studied.

关键词： Optimality conditions generalized gradient separation theorem weak Pareto-efficient solution

作者: Zhongfan Li Cailing Wang Wenjuan Sun

作者单位: School of Mathematics , Jilin University, Changchun 130012, China School of Science, Shenyang Ligong University, Shenyang 110168 , China

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 2834-2837

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）