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.