摘要
本文引入了空间中一类非线性混合拟均衡问题,利用辅助变分原理技术建立了这类均衡问题解的新的迭代原理,证明了其解的存在性以及由算法生成的迭代序列的收敛性。该收敛性只要求映象拟单调,这是比单调还弱的条件。本文的新算法推广了文献中某些已有的结果。
In this paper, by applying the auxiliary principle technique, a new iterative method for(下转53页) solving nonlinear mixed quasi - equilibrium problem is suggested and analyzed. The convergence of the method requires only the pseudo - monotonicity of mappings, which is a weaker condition than the monotonicity. This method and convergence generalize some results in literatures.
出处
《西昌学院学报（自然科学版）》
2006年第4期48-50,53,共4页
Journal of Xichang University(Natural Science Edition)
关键词
混合拟均衡
辅助变分原理技术
拟单调
反对称函数
Auxiliary principle technique
Pseudo - monotonicity
Iterative method
Skew - symmetric functions.
