摘要
给出了求解一类无界非凸区域上不动点问题的路径跟踪方法.在适当的条件下,给出了不动点存在性的构造性证明,从而得到了路径跟踪方法的全局收敛性结果.研究结果为计算无界非凸区域上不动点问题提供了一种全局收敛性方法.
A path following method is proposed to solve fixed point problems in unbounded nonconvex sets. Under suitable conditions, we give the constructive proof of the existence of fixed points, and thus obtain the global convergence results of the path following method. The results in this paper provide a globally convergent method for solving fixed points in unbounded nonconvex sets.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第5期232-236,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11071101)
关键词
不动点问题
路径跟踪方法
全局收敛性方法
fixed point problems
path following method
globally convergent method
