一种求解自反Banach空间中分裂平衡与不动点问题的次梯度外聚算法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-01-01 DOI:10.23952/jnfa.2020.37

O. Oyewole, O. Mewomo

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引用次数: 7

摘要

．针对双函数和Bregman拟非扩张映射的分裂可行性问题，提出了一种新的自适应步长迭代算法。在实自反Banach空间的框架下，得到了一个强收敛定理。最后通过一个应用和实例说明了该算法的性能。

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A subgradient extragradient algorithm for solving split equilibrium and fixed point problems in reflexive Banach spaces

. In this paper, a new iterative algorithm with a self-adaptive step size is proposed for split feasibility problem involving bifunctions and Bregman quasi-nonexpansive mappings. A strong convergence theorem is obtained in the framework of real reﬂexive Banach spaces. An application and an example are presented to illustrate the performance of our algorithm.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.