集值映射的向量优化问题

Vector optimization problem of set-valued maps

将单值映射的弧连通凸概念推广到了集值映射。建立了择一定理 ,获得了最优性必要条件 ,定义了

This paper extends the concept of arc connected convexness of single valued maps to set valued maps.A theorem of alternative is established,and necessary optimality condition is obtained.Finally a Lagrangian type dual is defined, duality results are obtained.