具半压缩映射族的惯性Halpern循环算法的强收敛性  

Strong Convergence of Inertial Halpern Cyclic Algorithm with a Finite Family of Demicontractive Mappings

作　　者：萧静芳 王亚琴[1] XIAO Jingfang;WANG Yaqin(School of Mathematical Information,Shaoxing University,Zhejiang Shaoxing 312000,China)

机构地区：[1]绍兴文理学院数理信息学院,浙江绍兴312000

出　　处：《河北师范大学学报（自然科学版）》2021年第4期330-335,共6页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11401388)。

摘　　要：在Hilbert空间中提出了一个新的具有限族半压缩映射的惯性Halpern循环算法,在适当条件下建立了一些强收敛定理,并给出了数值例子来说明算法的合理性和有效性,改进和推广了最近一些相应结果.In this paper,we propose a new inertial Halpern cyclic algorithm with a finite family of demicontractive mappings in Hilbert spaces,and establish some strong convergence theorems under some suitable conditions.A numerical example is given to illustrate the rationality and effectiveness of our proposed algorithm.The obtained results in this paper generalize and improve some recent corresponding results.

关 键 词：惯性 循环算法 半压缩映射 强收敛 

分 类 号：O177.91[理学—数学]