G-E-半预不变凸型多目标规划的Wolfe型对偶  

Wolf Type Duality of G-E-Semi-Preinvex Type Multiobjective Programming Problems

作　　者：彭再云[1] 秦南南[2] 李科科[3] 

机构地区：[1]重庆交通大学理学院,重庆400074 [2]重庆工商大学财政金融学院,重庆400067 [3]重庆师范大学数学科学学院,重庆400047

出　　处：《应用数学学报》2015年第6期1103-1114,共12页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11301571);重庆市基础与前沿研究(CSTC;jcyjA00025);中国博士后科学基金(2015M580774);重庆交通大学创新训练项目资助项目

摘　　要：提出了一类新的广义凸函数G-E-半预不变凸函数;然后,讨论了G-E-半预不变凸多目标规划问题的最优性条件,并通过例子验证了所得结论的正确性;最后,建立了G-E-半预不变凸多目标规划的Wolfe型对偶,得出其弱对偶,强对偶及逆对偶定理.A new class of generalized convex functions, G-E-semi-preinvex functions, was proposed. Then, optimality conditions of G-E-semi-preinvex multiobjective programming problem were discussed, and an example was given to illustrate the correctness of the obtained conclusion. And lastly, the Wolf type duality for multiobjective programming about H-E-semi-preinvex functions was established, and the weak duality, strong duality and converse duality theorem about it was obtained.

关 键 词：E-半连通集 G-E-半预不变凸函数 多目标规划 WOLFE型对偶 

分 类 号：O212.7[理学—概率论与数理统计]