A continuation method for solving fixed points of self-mappings in general nonconvex sets

Lin ZH.; Yu B.; Zhu DL.

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A continuation method for solving fixed points of self-mappings in general nonconvex sets

机译：求解一般非凸集自映射定点的一种连续方法

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In this paper, we present a homotopy continuation method for solving fixed points of self-mappings in a class of general nonconvex subsets in R-n. (C) 2002 Elsevier Science Ltd. All rights reserved. [References: 6]

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《Nonlinear Analysis: An International Multidisciplinary Journal 》 |2003年第3期| 共11页
作者
Lin ZH.; Yu B.; Zhu DL.;
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正文语种 eng
中图分类数学 ;
关键词
Fixed point; Self-mapping; Nonconvex set; Homotopy method; Homotopy;

机译：不动点;自映射;非凸集;同伦方法;同伦;

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专利

1. A continuation method for solving fixed points of self-mappings in general nonconvex sets [J] . Lin ZH., Yu B., Zhu DL. Nonlinear Analysis: An International Multidisciplinary Journal . 2003 ,第3期

机译：求解一般非凸集自映射定点的一种连续方法
2. A GLOBALLY CONVERGENT METHOD FOR COMPUTING THE FIXED POINT OF SELF-MAPPING ON GENERAL NONCONVEX SET [J] . Zhu Zhichuan, Zhou Zhengyong, Liou Yeong-Cheng, Journal of nonlinear and convex analysis . 2017 ,第6期

机译：一种全局收敛方法，用于计算常规非耦合集的自动映射的固定点
3. Solving Fixed Point Problems in More General Nonconvex Sets Via an Interior Point Homotopy Method [J] . SU Meng-long, LIU Mai-xue 数学季刊（英文版） . 2012 ,第001期

机译：通过内点同伦方法求解更一般的非凸集上的不动点问题
4. Global Convergence of Quasi-Newton Methods for Solving Nonconvex Minimization Problems [C] . Zhong Chen, Jianwei Zhu, Tao Zhang World congress on global optimization in engineering science;WCGO2009 . 2009

机译：解决非凸最小化问题的拟牛顿方法的全局收敛性
5. First-order Methods of Solving Nonconvex Optimization Problems: Algorithms, Convergence, and Optimality [D] . Lu, Songtao. 2018

机译：求解非渗透优化问题的一级方法：算法，收敛和最优性
6. Solving the multiple-set split equality common fixed-point problem of firmly quasi-nonexpansive operators [O] . Jing Zhao, Haili Zong -1

机译：求解拟非扩张算子的多集拆分等式公共不动点问题
7. A constraint shifting homotopy method for computing fixed points on nonconvex sets [O] . Zhichuan Zhu, Li Yang 2016

机译：用于计算非凸集上的固定点的约束旋转同型方法

A continuation method for solving fixed points of self-mappings in general nonconvex sets

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