摘要
在实拓扑向量空间中讨论了两类含参广义集值平衡问题.首先,分别给出两类含参广义集值平衡问题近似有效解的概念;其次,在适当条件下,研究了两类含参广义集值平衡问题近似解映射的下半连续性和上半连续性;最后,得到了近似解映射的连续性定理.结果表明,两类含参广义集值平衡问题近似解映射的连续性理论具有统一性.
In this paper,two types of parametric generalized set-valued equilibrium problems were discussed in real topological vector spaces.Firstly,the concepts of approximate efficient solutions for parametric generalized set-valued equilibrium problems were given.Then,under suitable conditions,the lower and upper semi-continuity of approximate solution mappings for two kinds of parametric generalized set-valued equilibrium problems were studied.Finally,continuity theorems of approximate solution mappings were obtained.The results showed that the continuity of approximate solution mappings for the parametric generalized set-valued equilibrium problems was unified.
作者
孟旭东
MENG Xudong(School of Science and College,Nanchang Hangkong University,Nanchang 330034,China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2020年第2期1-6,共6页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金资助项目(11201216)
江西省教育厅科学技术重点研究基金资助项目(GJJ181565,GJJ191614)
江西省教育厅科学技术研究基金资助项目(GJJ161597,GJJ181567)。
关键词
含参广义集值平衡问题
近似解
上半连续性
下半连续性
parametric generalized set-valued equilibrium problems
approximate solution
upper semicontinuity
lower semicontionuity
