具有限族半压缩映射的修正惯性同步算法的强收敛性  

Abstract Applied Analysis,2013,2013:1-8.Strong Convergence of Modified Inertial Simultaneous Algorithms for a Finite Family of Demicontractive Mappings

作　　者：王亚琴[1] 曹熠虞 黄思婕 WANG Yaqin;CAO Yiyu;HUANG Sijie(School of Mathematics,Physics and Information Science,Shaoxing University,Shaoxing,Zhejiang 312000)

机构地区：[1]绍兴文理学院数理信息学院,浙江绍兴312000

出　　处：《绍兴文理学院学报》2024年第8期37-46,共10页Journal of Shaoxing University

基　　金：国家自然科学基金项目“超可积和非局域可积系统的构造和相关研究”(11975156)。

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。In this paper,a new modified inertial simultaneous algorithm for a finite family of demicontractive 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 example 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 

分 类 号：O177.91[理学—数学]