A GLOBALLY CONVERGENT METHOD FOR COMPUTING THE FIXED POINT OF SELF-MAPPING ON GENERAL NONCONVEX SET

被引：0
|
作者：
Zhu, Zhichuan [1 ,2 ]
Zhou, Zhengyong [3 ]
Liou, Yeong-Cheng [4 ,5 ,6 ]
Yao, Yonghong [7 ]
Xing, Yanchun [1 ,2 ]
机构：
[1] Jilin Univ Finance & Econ, Fac Stat, Changchun 130117, Jilin, Peoples R China
[2] North East Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[3] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
[4] Kaohsiung Med Univ, Dept Healthcare Adm & Med Informat, Ctr Big Data Analyt & Intelligent Healthcare, Kaohsiung 807, Taiwan
[5] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 807, Taiwan
[6] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 807, Taiwan
[7] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 06期
关键词：
Homotopy method; fixed point; nonconvex sets; shifted feasible set; HOMOTOPY METHOD; ALGORITHM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, to compute the fixed point of self-mapping on general nonconvex sets with both inequality and equality constraints, the equality constraints are turned into some inequality constraints and a feasible set swelling homotopy is constructed. Under some mild conditions, the existence and global convergence of the smooth homotopy pathways is also proved. Compared with the previous results, the initial point is not needed to be a feasible interior point of the original feasible set, and can be chosen freely in a bounded ball region of the shifted feasible set. Some numerical examples are also given to show the feasibility and effectiveness of the homotopy method.
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页码：1067 / 1078
页数：12
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