摘要
主要研究了含参广义向量均衡问题的几类近似解.在C-次似凸性的条件下,建立了该类含参广义向量均衡问题ε-弱近似解的标量化特征,并得到该类含参广义向量均衡问题两类近似解集的连通性.通过举例说明了所得结果的正确性.
Several approximate solution sets to generalized vector equilibrium problems were studied. The scalarization characterization of ε-approximate solutions to parametric generalized vector equilibrium problems was established by means of the C-subconvexlike property of the involved mappings. Further,the connectedness of the 2 types of approximate solution sets was derived with the scalarization methods. Finally,the relationships among these approximate solution sets were obtained under some typical conditions.
作者
巨兴兴
陈加伟
张俊容
李高西
JU Xingxing;CHEN Jiawei;ZHANG Junrong;LI Gaoxi(School of Mathematics and Statistics,Southwest University,Chongqing 400715,P.R.China;College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2018年第10期1206-1212,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金(11401487)
重庆市基础与前沿研究计划项目(cstc2016jcyjA0239)~~
关键词
广义向量均衡问题
近似解
连通性
generalized vector equilibrium problem
approximate solution
connectedness
