An infeasible homotopy method for solving fixed point problems on a general unbounded set

被引：3

作者：

Fan X. ^{[1
]}

Gao F. ^{[1
]}

Xu T. ^{[1
]}

机构：

[1] College of Science, Nanjing University of Posts and Telecommunications Nanjing, Jiangsu

来源：

Journal of Applied Mathematics and Computing | 2014年 / 47卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Fixed point problems; Global convergence; Infeasible homotopy method; Unbounded set;

D O I：

10.1007/s12190-014-0775-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider an infeasible homotopy method to solve fixed point problems on a general unbounded set. The method enlarges the choice scope of initial points by a perturbation on equality constraint. Under a new and weaker condition for the defining mapping Φ, a constructive proof of the existence of fixed points and the global convergence are obtained. The computational result illustrates that our method improves greatly the computational efficiency than the existing interior point homotopy methods. © 2014, Korean Society for Computational and Applied Mathematics.

引用

页码：277 / 289

页数：12

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