含参集值强向量均衡问题近似解的连续性

On Continuity of the Approximate Solution Sets for Parametric Set-Valued Strong Vector Equilibrium Problems

研究了含参集值向量均衡问题近似解解集的连续性.通过提出严格近似C包含性质,在不需要解映射信息的条件下,得到了近似解解集的下半连续性.并在一定条件下得到了解集的上半连续性,从而解集是连续的.

This paper studies the continuity of approximate solution sets for parametric set-valued strong vector equilibrium problems.By the strict approximate C-inclusion property,the lower-semicontinuity is obtained without any information of the solution mappings,and the upper-semicontinuity of approximate solution sets is obtained in some suitable condition.Thus the continuity of the solution sets is proved.