| 摘要: |
| 利用不动点稳定性方法证明广义向量拟平衡问题系统(GSVQEP)解的存在性及解集的强本质连通区的存在性,并将该结果应用于广义多目标对策的研究,证明广义多目标对策强本质平衡点集的存在性和强本质weakPareto-Nash平衡点集的存在性. |
| 关键词: 广义向量拟平衡问题 强本质集 weakPareto-Nash平衡点 |
| DOI： |
| 投稿时间：2010-04-21 |
| 基金项目:广西教育厅科研基金项目(200702LX215)资助 |
|
| Strong Essential Stability of the System of Generalized Vector Quasi-Equilibrium Problems and Existence of Equilibrium Points in Generalized Multiple Objective Games |
|
Song Qi-qing
|
| (College of Science, Guilin University of Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| We consider the system of generalized vectorquasi-equilibrium and prove the existence of its solution.Consequently, we get the existence of strongly essential sets for its solution sets.As an application, we derive the existence of strongly essential equilibrium points of generalized multiple objective games and strongly essential weak Pareto-Nash equilibrium. |
| Key words: system of generalized vector quasi-equilibrium strong essential sets weak Pareto-Nash equilibrium |
