Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method

Yunus Atalan; Esra Erbaş

doi:10.53570/jnt.1326344

EN

Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method

Abstract

Finding the ideal circumstances for a mapping to have a fixed point is the fundamental goal of fixed point theory. These criteria can also be used for the structure under investigation. One of this theory’s most well-known theorems, Banach’s fixed point theorem, has been expanded adopting various methods, making it possible to conduct numerous research studies. Thanks to the Jungck-Contraction Theorem, which has been proven through commutative mappings, many fixed point theorems have been obtained using classical fixed point iteration methods and newly defined methods. This study aims to investigate the convergence, stability, convergence rate, and data dependency of the new four-step fixed-point iteration method. Nontrivial examples are also included to support some of the results herein.

Keywords

Jungck-contraction principle, fixed point, iteration method, stability, data dependence

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Yunus Atalan ^*
0000-0002-5912-7087
Türkiye

Esra Erbaş
0000-0002-4358-9068
Türkiye

Early Pub Date

December 30, 2023

Publication Date

December 31, 2023

Submission Date

July 12, 2023

Acceptance Date

October 27, 2023

Published in Issue

Year 2023 Number: 45

DOI

https://doi.org/10.53570/jnt.1326344

IZ

https://izlik.org/JA34SS25CP

APA

Atalan, Y., & Erbaş, E. (2023). Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method. Journal of New Theory, 45, 1-17. https://doi.org/10.53570/jnt.1326344

AMA

1.Atalan Y, Erbaş E. Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method. JNT. 2023;(45):1-17. doi:10.53570/jnt.1326344

Chicago

Atalan, Yunus, and Esra Erbaş. 2023. “Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method”. Journal of New Theory, nos. 45: 1-17. https://doi.org/10.53570/jnt.1326344.

EndNote

Atalan Y, Erbaş E (December 1, 2023) Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method. Journal of New Theory 45 1–17.

IEEE

[1]Y. Atalan and E. Erbaş, “Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method”, JNT, no. 45, pp. 1–17, Dec. 2023, doi: 10.53570/jnt.1326344.

ISNAD

Atalan, Yunus - Erbaş, Esra. “Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method”. Journal of New Theory. 45 (December 1, 2023): 1-17. https://doi.org/10.53570/jnt.1326344.

JAMA

1.Atalan Y, Erbaş E. Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method. JNT. 2023;:1–17.

MLA

Atalan, Yunus, and Esra Erbaş. “Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method”. Journal of New Theory, no. 45, Dec. 2023, pp. 1-17, doi:10.53570/jnt.1326344.

Vancouver

1.Yunus Atalan, Esra Erbaş. Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method. JNT. 2023 Dec. 1;(45):1-17. doi:10.53570/jnt.1326344