自反banach空间中有限族bregman强非扩张映射的并行迭代方法

Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190268

J. Kim, Truong Minh Tuyen

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引用次数: 2

摘要

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

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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