“不动点和单调包含问题的加速Visco-Cesaro均值Tseng型分裂方法”

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI:10.37193/cjm.2022.02.02

Yasir Arfat, P. Kumam, M. A. A. Khan, Parinya Sa Ngiamsunthorn

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引用次数: 1

摘要

在本文中，我们研究了Hilbert空间中与有限族η-半度量映射相关的单调包含问题和不动点问题的Tseng分裂方法的一个变体。所提出的算法是基于经典Tseng方法与粘性Ces´aro均值方法和Nesterov加速方法的结合在这样的框架中，在一组合适的控制条件下表现出加速的强收敛特性。最后，我们提供了一个数值例子来说明所提出的算法的适用性以及一些有用的抽象应用。“

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"An accelerated Visco-Cesaro means Tseng Type splitting method for fixed point and monotone inclusion problems"

"In this paper, we study a variant of Tseng’s splitting method for monotone inclusion problem and fixed point problem associated with a finite family of η-demimetric mappings in Hilbert spaces. The proposed algorithm is based on the combination of classical Tseng’s method together with the viscosity Ces´aro means method and the Nesterov’s acceleration method. The proposed iterative method exhibits accelerated strong convergence characteristics under suitable set of control conditions in such framework. Finally, we provide a numerical example to illustrate the applicability of the proposed algorithm as well as some useful abstract applications."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.