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高校应用数学学报
高校应用数学学报  2016, Vol. 31 Issue (1): 63-72    
    
一类非光滑多目标规划问题的最优性条件
周轩伟
浙江树人大学基础部, 浙江杭州 310015
Optimality conditions for a class of nonsmooth multi-objective programming problems
ZHOU Xuan-wei
Dept. of Basic Courses, Zhejiang Shuren Univ., Hangzhou 310015, China
 全文: PDF 
摘要： 研究了一类非光滑多目标规划问题. 这类多目标规划问题的目标函数为锥凸函数与可微函数之和, 其约束条件是Euclidean空间中的锥约束. 在满足广义Abadie约束规格下, 利用广义Farkas引理和多目标函数标量化, 给出了这一类多目标规划问题的锥弱有效解最优性必要条件.
关键词： 非光滑多目标规划;  广义Abadie约束规格;  广义Farkas引理;  最优性必要条件    
Abstract: In this paper, a class of nonsmooth multi-objective programming problems is studied. By using generalized Farkas lemma and scalarization of multi-objective function, the optimality conditions of cone weakly efficient solution are given for the problem of minimizing a multi-objective function, where the multi-objective function is the sum of a differentiable multi-objective function and a cone convex multi-objective function, subject to a set of differentiable nonlinear functions with a controlled cone on a convex subset of a finite dimensional Euclidean space, under the conditions similar to the Abadie constraint qualification.
Key words: nonsmooth multi-objective programming    generalized Abadie constraint qualification    generalized Farkas lemma    optimality conditions
收稿日期: 2015-10-08 出版日期: 2018-05-17
CLC:  O221.6  
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周轩伟

引用本文:

周轩伟. 一类非光滑多目标规划问题的最优性条件[J]. 高校应用数学学报, 2016, 31(1): 63-72.

ZHOU Xuan-wei. Optimality conditions for a class of nonsmooth multi-objective programming problems. Applied Mathematics A Journal of Chinese Universities, 2016, 31(1): 63-72.

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http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2016/V31/I1/63

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