The convergence of new iterations by resolvent ZA-Jungck mappings

IF 1.1 Q1 MATHEMATICS

JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1462

Alaa Mohsen, Z. H. Maibed

引用次数: 0

Abstract

In this paper, new iterations with different steps such as resolvent Jungck ZSY, resolvent Jungck Modified Mann Z-, resolvent Jungck Petrusel, and the resolvent Jungck Ishikawa iterations are introduced. Also, the convergence and speediness of it are studied and shown that the resolvent Jungck ZSY- iteration scheme is faster than that of resolvent Jungck Modified Mann Z- iteration scheme. On the other hand, the resolvent Jungck ZSY- iteration is faster than the resolvent Jungck Picard iteration.

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求解ZA-Jungck映射的新迭代收敛性

本文介绍了求解Jungck ZSY迭代法、求解Jungck Modified Mann Z-迭代法、求解Jungck Petrusel迭代法和求解Jungck Ishikawa迭代法。研究了该方法的收敛性和快速性，结果表明，解决式Jungck - ZSY-迭代方案比解决式Jungck - Modified Mann -迭代方案要快。另一方面，解析式Jungck - ZSY-迭代比解析式Jungck - Picard迭代更快。

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 INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

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