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| 路径跟踪方法求解无界非凸区域上的不动点问题 | |
| 引用本文： | 蔡志丹,常水珍,韩月才. 路径跟踪方法求解无界非凸区域上的不动点问题[J]. 数学的实践与认识, 2012, 42(5): 232-236 |
| 作者姓名： | 蔡志丹 常水珍 韩月才 |
| 作者单位： | 1. 长春理工大学理学院,吉林长春,130022 2. 洛阳师范学院数学科学学院,河南洛阳471022;吉林大学符号计算与知识工程教育部重点实验室,吉林长春130012 3. 吉林大学数学学院,吉林长春,130021 |
| 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. |
| 关 键 词： | 不动点问题 路径跟踪方法 全局收敛性方法 |
A Path Following Method to Solve Fixed Point Problems in Unbounded Nonconvex Sets |
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| CAI Zhi-dan , CHANG Shui-zhen , HAN Yue-cai. A Path Following Method to Solve Fixed Point Problems in Unbounded Nonconvex Sets[J]. Mathematics in Practice and Theory, 2012, 42(5): 232-236 | |
| Authors: | CAI Zhi-dan CHANG Shui-zhen HAN Yue-cai |
| Affiliation: | 1.School of Science,Changchun University of Science and Technology,Changchun 130022,China) (2.College of Mathematics,Luoyang Normal University,Luoyang 471022,China) (3.Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education,Jilin University,Changchun 130012,China) (4.College of Mathematics,Jilin University,Changchun 130012,China) |
| Abstract: | 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. |
| Keywords: | fixed point problems path following method globally convergent method |
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