绍兴文理学院学报2024,Vol.44Issue(8) :37-46.DOI:10.16169/j.issn.1008-293x.2024.08.005

具有限族半压缩映射的修正惯性同步算法的强收敛性

Strong Convergence of Modified Inertial Simultaneous Algorithms for a Finite Family of Demicontractive Mappings

王亚琴 曹熠虞 黄思婕
绍兴文理学院学报2024,Vol.44Issue(8) :37-46.DOI:10.16169/j.issn.1008-293x.2024.08.005

具有限族半压缩映射的修正惯性同步算法的强收敛性

Strong Convergence of Modified Inertial Simultaneous Algorithms for a Finite Family of Demicontractive Mappings

王亚琴 1曹熠虞 1黄思婕1
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作者信息

  • 1. 绍兴文理学院 数理信息学院,浙江 绍兴 312000
  • 折叠

摘要

研究一个新的具有限族半压缩映射的修正惯性同步算法.在希尔伯特空间框架下,结合压缩映射,在适当的条件下建立一些强收敛定理.同时,给出了一个数值例子来说明所建议的算法的有效性.

Abstract

In this paper,a new modified inertial simultaneous algorithm for a finite family of demicontrac-tive mappings is studied.In the framework of Hilbert spaces,combined with the contraction,some strong convergence theorems are established under some suitable conditions.At the same time,a numerical exam-ple is given to illustrate the effectiveness of our proposed algorithm.

关键词

惯性算法/分裂公共不动点问题/半压缩映射/粘性逼近/强收敛性

Key words

inertial algorithm/split common fixed-point problem/demicontractive mapping/viscosity ap-proximation/strong convergence

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基金项目

国家自然科学基金项目(11975156)

出版年

2024
绍兴文理学院学报
绍兴文理学院

绍兴文理学院学报

CHSSCD
影响因子:0.267
ISSN:1008-293X
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