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OPTIMALITY CONDITIONS IN NONSMOOTH MULTIOBJECTIVE PROGRAMMING
作者姓名:WANG Liancheng  DONG Jiali  LIU Qinghuai
作者单位:Depertment of Mathematics,Jilin University of Technology,Changchun 130025,China
摘    要:OPTIMALITYCONDITIONSINNONSMOOTHMULTIOBJECTIVEPROGRAMMING¥WANGLiancheng;DONGJiali;LIUQinghuai(DepertmentofMathematics,JilinUni...


OPTIMALITY CONDITIONS IN NONSMOOTH MULTIOBJECTIVE PROGRAMMING
WANG Liancheng, DONG Jiali, LIU Qinghuai.OPTIMALITY CONDITIONS IN NONSMOOTH MULTIOBJECTIVE PROGRAMMING[J].Journal of Systems Science and Complexity,1994(3).
Authors:WANG Liancheng  DONG Jiali  LIU Qinghuai
Abstract: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 qualification for a multiobjective programming in which all the objective functions and constraint functions are Lipschitz. Finally sufficient conditions are studied.
Keywords:Multiobjective programming  generalized gradient  separation theorem  weak Pareto-efficient solution  
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