改进集下参数广义弱向量平衡问题解的半连续性

Solution Semicontinuity of Parametric Generalized Weak Vector Equilibrium Problems under Improvement Sets

摘要:

在改进集定义的序关系下，本文建立了广义弱向量平衡问题解的线性标量化特征，并通过引入集值映射的一种新的严格伪单调性得到了广义弱向量平衡问题解的连续性（包括上半连续性和下半连续性）结果。

Abstract:

In this paper, for the generalized weak vector equilibrium problem where the ordering relation is defined via an improvement set, a linear scalarization characterization is established. By applying the obtained result, new continuity (both lower and upper semicontinuities) results of solution mappings to parametric generalized weak vector equilibrium problems with set-valued mappings are established by scalarization approaches, under a newly introduced class of strict pseudomonotonicity assumptions.