研究赋范线性空间中强向量均衡问题的适定性。在一定条件下,给出了强向量均衡问题的唯一适定性和适定性的充分必要条件。当映射关于两个分量分别具有某些不同性质时,强向量均衡问题唯一适定性和适定性的充分条件。讨论了强向量均衡问题与数值优化问题适定性之间的关系,给出强向量均衡问题适定性与数值优化问题适定性的等价条件。
The paper studied well-posedness of the strong vector equilibrium problems in normed Spaces. Under certain conditions, the necessary and sufficient conditions of the unique well-posedness and well-posedness were derived. Furthermule, the sufficient conditions of the unique well-posedness and well-posedness of the strong vector equilihrium problem were discussed, when the mapping satisfied some different conditions in the two arguments. Finally,the relationship,as well as the equivaleut conditious, between the well-posedness of the stong vector eauilihrium ploblem and of the optincizotion problem,were investiqated.