集值向量拟均衡问题的ε-Henig对偶  

Duality for ε-Henig set-value vector quasi-equilibrium problem

作　　者：孟旭东[1] 龚循华[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2014年第1期8-12,共5页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11061023;11201216)

摘　　要：首先引入了具集值映射的ε-Henig向量拟均衡问题及其对偶问题,然后在广义凸性与广义Slater条件下讨论了ε-Henig向量拟均衡问题的ε-Henig有效解与其对偶问题的ε-Henig有效解之间的关系,得到了ε-Henig向量拟均衡问题的对偶定理。ε-Henig vector quasi-equilibrium problem and its dual problem with set-valued mappings are introduced, under the generalized convexity and generalized Slater conditions,the relationships between ε-Henig efficient solutions of ε-Henig vector quasi-equilibrium problem and its dual problem are discussed,the duality theorem of ε-Henig vector quasi-equilibrium problem is given.

关 键 词：向量拟均衡问题 ε-Henig对偶 ε-Henig有效解 ε-Henig次梯度 集值映射 

分 类 号：O317[理学—一般力学与力学基础]