参数集值强向量均衡问题解的稳定性

Stability of Parametric Set-valued Strong Vector Equilibrium Problems

首先在Hausdorff拓扑向量空间中给出集值强向量均衡问题解的存在性定理,接着举例说明了集值强向量均衡问题解的存在性。而后在Hausdorff拓扑向量空间中给出了参数集值强向量均衡问题解映射的上半连续性的充分条件,最后,在赋范线性空间中给出了参数集值强向量均衡问题解映射的下半连续性的充分条件。

First of all, in the Hausdorff topological vector space, the existence theorem of the solution of the set - valued strong vector equilibrium problems is given, and an example is presented to support the existence theorem. After that,in the Hausdorff topological vector space,the sufficient conditions for the upper semicontinuity of the solution set mapping for the parametric set - valued strong vector equilibrium problems are established. Finally, in the normed linear space, the sufficient conditions for the lower semicontinuity of the solution set mapping for the para- metric set -valued strong vector equilibrium problems are established.