A PARALLEL ITERATIVE METHOD FOR A FINITE FAMILY OF BREGMAN STRONGLY NONEXPANSIVE MAPPINGS IN REFLEXIVE BANACH SPACES

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190268

J. Kim, Truong Minh Tuyen

引用次数: 2

Abstract

In this paper, we introduce a parallel iterative method for finding a common fixed point of a finite family of Bregman strongly nonexpansive mappings in a real reflexive Banach space. Moreover, we give some applications of the main theorem for solving some related problems. Finally, some numerical examples are developed to illustrate the behavior of the new algorithms with respect to existing algorithms.

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自反banach空间中有限族bregman强非扩张映射的并行迭代方法

本文给出了一种求实自反Banach空间中Bregman强非扩张映射有限族的公共不动点的并行迭代方法。此外，我们还给出了主要定理在解决一些相关问题上的一些应用。最后，给出了一些数值算例来说明新算法相对于现有算法的性能。

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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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).