摘要
拟平衡问题QEP(T,A,f)包含了许多最优化问题、Nash平衡问题和拟变分不等式问题作为特殊情形。先证明一个重要的不动点定理,然后得到L-凸空间中QEP(T,A,f)解的存在性定理。最后利用Fort定理,从本质平衡点的角度讨论拟平衡问题解集的稳定性,得到大多数的拟平衡问题是稳定的等结论。
Quasi equilibrium problems QEP（T,A,f）contain many optimization problems, the Nash equi- librium and quasi variational inequality problems as special cases. First proves an important fixed point theorem, and then obtains the existence of the solution of Quasi-equilibri-um prob- lem in L-convex space. Finally discusses the stability of the solution set of Quasi-equili-brium problem is from the eye of essential solution（equilibrium point） by using Fort theorem. And the conclusion is that the majority of the Quasi-equilibrium problem are stable,etc.
出处
《现代计算机》
2013年第11期3-8,共6页
Modern Computer
