类凸向量均衡问题解的最优性条件

在实的局部凸的Hausdorff拓扑线性空间中,考虑带约束的向量均衡问题,利用凸集分离定理,给出了带约束的类凸向量均衡问题的弱有效解,Henig有效解,全局有效解和超有效解的充分必要条件,并通过举例说明了锥类凸映射是比锥凸映射更弱的映射。

Optimality Condition for Convex-like Vector Equilibrium Problem

It considers the vector equilibrium problems with constraints in real locally convex Hausdorff topological vector space,and uses separation theorem of convex sets to prove the necessary and sufficient conditions for weakly efficient solution,Henig efficient solution,globally efficient solution,and superefficient solution to the convex-like vector equilibrium problems with constraints,then it presents an example to illustrate convexity-like is weaker than convex.