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具有广义B-凸函数的非光滑多目标规划的最优性与向量Lagrange鞍点理论(英文) 被引量:5

Optimality and Duality for Non-Smooth Multiple-Objective Optimization with Generalized B-vex Functions
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摘要 利用广义B-凸函数等概念,讨论了一类非光滑多目标规划,给出了广义最优性充分条件和Mond-Weir型对偶结果,讨论了向量Lagrange乘子性质并证明了向量值鞍点定理. By using generalized B-vex functions, a non-smooth multiple objective optimization problem is considered. Kuh-Tucker type sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Mond-Weir type duality results and certain vector saddle point results are presented.
出处 《运筹学学报》 CSCD 北大核心 2002年第1期29-35,共7页 Operations Research Transactions
基金 Department of Mathematics and Computer Science, Nanjing Normal University, Nanjing,210097,China
关键词 真有效解 向量值鞍点 广义B-凸函数 非光滑多目标规划 最优性 向量Lagrange鞍点理论 Generalized B-vex functions, Efficient solution, Properly efficient solu-tion, Duality, Vector saddle point.
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  • 3Chenke Zhang, Xingyu Wang, Optimality and Duality for A class of Non-SmoothGeneralized B-vex programming, OR Transactions, Vol.3 No.1,1999, PP.6-18.
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