期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
具半压缩映射族的惯性Halpern循环算法的强收敛性
- 绍兴文理学院 数理信息学院,浙江 绍兴 312000
-
DOI：10.13763/j.cnki.jhebnu.nse.202101013
Strong Convergence of Inertial Halpern Cyclic Algorithm with a Finite Family of Demicontractive Mappings
摘要/Abstract
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.
Abstract：
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
关键词：
惯性
;
循环算法； 半压缩映射； 强收敛
Key words：
inertia
;
cyclic algorithm
;
demicontractive mapping
;
strong convergence
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