广义弧式连通凸锥优化问题的最优性条件及对偶问题  

Optimality Conditions and Duality in Optimization with Generalized Arcwise Connectivity Over Convex Cones

作　　者：余维[1] 曹军[2] 张福元[2] 李高西 

机构地区：[1]重庆师范大学数学科学学院,重庆401331 [2]内蒙古大学数学科学学院,内蒙古呼和浩特010021

出　　处：《数学的实践与认识》2016年第3期232-237,共6页Mathematics in Practice and Theory

摘　　要：给出了弧式连通凸锥优化问题的强有效解和Benson真有效解的最优性条件,讨论了目标函数和约束函数均为广义弧式连通凸锥函数优化问题的近似有效解的最优性条件,给出了相应的近似Mond-Weir型对偶模型,给出了弱对偶和逆对偶定理.In this paper optimality conditions on strong efficient solution and Benson proper efficient solution in optimization with arcwise connectivity over cones was given.we have discuss the optimality conditions on approximate solution in optimization which both object function and constraint function are generalized arcwise connectivity convex cones.An approximate Mond-Weir Type dual problem is formulated,Weak duality and converse duality theorems are established.

关 键 词：弧式连通 强有效解 真有效解 近似Mond-Weir对偶 

分 类 号：O224[理学—运筹学与控制论]