| System of Generalized Vector Quasi-Equilibrium Problems in Locally FC-Spaces |
| |
| 作者姓名： | Xie Ping DING |
| |
| 作者单位： | College of Mathematics and Software Science, Sichuan Normal University Chengdu 610066, P. R. China |
| |
| 基金项目： | Tins project is supported by the NSF of Sichuan Education Department of China （2003A081 and SZD0406）. |
| |
| 摘 要： | A new class of locally finite continuous topological spaces （for short, locally FC-spaces） and a class of system of generalized vector quasi-equilibrium problems are introduced. By applying a generalized Himmelberg type fixed point theorem for a set-valued mapping with KKM-property due to the author, a collectively fixed point and an equilibrium existence theorem of generalized game are first proved in locally FC-spaces. By applying our equilibrium existence theorem of generalized game, some new existence theorems of equilibrium points for the system of generalized vector quasi-equilibrium problems are proved in locally FC-spaces. These theorems improve, unify and generalize many known results in the literatures.
|
| 关 键 词： | 广义博弈 准平衡问题 KKM特性 Himmelberg型固定点理论 局部FC-空间 |
| 收稿时间： | 2004-08-17 |
| 修稿时间： | 2004-08-172005-01-12 |
System of Generalized Vector Quasi–Equilibrium Problems in Locally FC–Spaces |
| |
| Xie Ping DING.System of Generalized Vector Quasi-Equilibrium Problems in Locally FC-Spaces[J].Acta Mathematica Sinica,2006,22(5):1529-1538. |
| |
| Authors: | Xie Ping Ding |
| |
| Institution: | (1) College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China |
| |
| Abstract: | A new class of locally finite continuous topological spaces (for short, locally FC–spaces) and a class of system of generalized vector quasi–equilibrium problems are introduced. By applying a generalized
Himmelberg type fixed point theorem for a set–valued mapping with KKM–property due to the author, a collectively fixed point and an equilibrium existence theorem of generalized game are first
proved in locally FC–spaces. By applying our equilibrium existence theorem of generalized game, some new existence theorems of equilibrium points
for the system of generalized vector quasi–equilibrium problems are proved in locally FC–spaces. These theorems improve, unify and generalize many known results in the literatures.
This project is supported by the NSF of Sichuan Education Department of China (2003A081 and SZD0406) |
| |
| Keywords: | Generalized game System of generalized vector quasi-equilibrium problems KKM property Himmelberg type fixed point theorem Locally FC-space |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
