一种使用动态步长求解多输出集分裂公共不动点问题的方法

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-11-10 DOI:10.1080/01630563.2023.2278836

Huanhuan Cui

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引用次数: 0

摘要

摘要本文研究了具有多输出集的分裂公共不动点问题，并给出了有效逼近其解的新方法。我们分别在适当条件下建立了严格伪压缩映射和半压缩映射的两个收敛定理，它们作为特例覆盖了一些已有的结果。此外，数值实验表明，我们开发了一种求解多输出集分裂公共不动点问题的竞争性方法。关键词:半闭性原理半缩图分割公共不动点问题严格伪缩图数学主题分类:47J2547H0947H1047J05致谢感谢审稿人的建设性意见，这些意见大大提高了我们的工作质量。基金资助:国家自然科学基金项目(12101286,11971216)。

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An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes

AbstractIn this paper, we investigate the split common fixed point problem with multiple output sets and develop novel approaches for effectively approximating its solution. We establish two convergence theorems under appropriate conditions for strictly pseudo-contractive mappings and demicontractive mappings, respectively, which cover some existing results as a special case. Furthermore, the numerical experiments demonstrate that we have developed a competitive method for solving the split common fixed point problem with multiple output sets.KEYWORDS: Demiclosedness principledemicontractive mapsplit common fixed point problemstrictly pseudo-contractive mapMATHEMATICS SUBJECT CLASSIFICATION: 47J2547H0947H1047J05 AcknowledgmentsWe would like to extend our appreciation to the reviewers for their constructive comments that significantly enhanced the quality of our work.Additional informationFundingThis work is supported by the National Natural Science Foundation of China (No. 12101286, 11971216).

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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.