一类连续伪压缩映射的公共不动点问题的类惯性算法

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-10-27 DOI:10.1080/01630563.2023.2267352

H. H. Gidey, H. Zegeye, O. A. Boikanyo, D. Kagiso, Y. A. Belay

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引用次数: 0

摘要

摘要在实数Hilbert空间框架下，引入一种逼近连续伪压缩映射公共不动点的类惯性算法。在一定条件下，在控制序列上证明了算法生成序列的强收敛性定理。通过数值算例验证了算法的有效性。关键词:公共不固定点连续映射希尔伯特空间惯性方法伪约合映射数学学科分类:46N1047B0247H0547H0947H1047J2547J26附加信息资金来源Belay非常感谢来自博茨瓦纳国际科技大学(BIUST)西蒙斯基金会的资金支持。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An Inertial-Like Algorithm for Solving Common Fixed Point Problems of a Family of Continuous Pseudocontractive Mappings

AbstractIn this paper, it is our purpose to introduce an inertial-like algorithm for approximating common fixed points of continuous pseudocontractive mappings in the framework of real Hilbert spaces. We prove strong convergence theorems for the sequence generated by the algorithm under certain conditions on the control sequences. We also provide numerical examples to demonstrate the efficiency of our algorithm.Keywords: Common fixed pointcontinuous mappingHilbert spaceinertial methodpseudocontaractive mappingMATHEMATICS SUBJECT CLASSIFICATION: 46N1047B0247H0547H0947H1047J2547J26 Additional informationFundingYA Belay is grateful for the financial support from Simons Foundation based at Botswana International University of Science and Technology (BIUST).

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.