摘要
本文研究了对称集值向量拟均衡问题解集的稳定性.证明了在约束映射满足一定连续性与目标映射是锥-恰当拟凸的集值映射条件下,对称集值向量拟均衡问题的解集是稳定的,还证明了每个对称集值向量拟均衡问题的解集至少存在一个本质连通区.
In this paper, we studied the stability of the set of solutions for symmetric set-valued vector quasi-equilibrium problems. When the constraints mappings satisfy some continuity conditions and the objective mappings are P-properly quasi-convex, we proved that the symmetric set-valued vector quasi-equilibrium problems have.stable solutions set and the solutions set for each symmetric set-valued vector quasi-equilibrium problems possesses at least one essential component.
出处
《运筹学学报》
CSCD
2009年第4期21-30,共10页
Operations Research Transactions
基金
supported by the Natural Science Foundation of China(Grant numbers: 10561007)
Natural Science Foundation of Jiangxi Province,China(Grant numbers:2008GZS0072)
关键词
运筹学
对称集值向量拟均衡问题
解集的稳定性
本质连通区
Operations research, symmetric set-valued vector quasi-equilibriumproblems, stability of the set of solutions, essential component
