求解ZA-Jungck映射的新迭代收敛性

IF 1.1 Q1 MATHEMATICS

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

Alaa Mohsen, Z. H. Maibed

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引用次数: 0

摘要

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。

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The convergence of new iterations by resolvent ZA-Jungck mappings

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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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.