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)  

Optimality and Duality for Non-Smooth Multiple-Objective Optimization with Generalized B-vex Functions

作　　者：郑庆玉[1] 朱风春[1] 周厚春[2] 

机构地区：[1]临沂师范学院数学系,山东临沂276005 [2]南京师范大学数学与计算机科学系,南京210097

出　　处：《运筹学学报》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

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.

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 

分 类 号：O221.2[理学—运筹学与控制论]