节点文献
同伦方法求解非凸区域Brouwer不动点问题
Homotopy method for Nonconvex Brouwer Fixed-point Problem
【摘要】 本文构造了一个新的求解非凸区域上不动点问题的内点同伦算法,并在弱法锥(见定义2.1(2))和适当的条件下,证明了算法的全局收敛性.本文所给的条件比外法锥条件更加一般.
【Abstract】 In this paper we construct a new interior-point homotopy method for solving fixed-point problem in nonconvex set,and prove the convergence under the weak normal cone condition(see Definition 2.1(2))and some proper conditions.It needs to point out that the conditions are very mild,and more general than the normal cone condition.
【关键词】 不动点;
同伦方法;
弱法锥条件;
非凸区域;
【Key words】 Fixed-point; homotopy method; weak normal cone condition; nonconvex set;
【Key words】 Fixed-point; homotopy method; weak normal cone condition; nonconvex set;
【基金】 国家自然科学基金(70432001号)资助项目.
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2006年04期
- 【分类号】O177.91
- 【被引频次】4
- 【下载频次】134