A New Iterative Process Based on Almost Contraction Operators

Yunus Atalan

doi:10.33401/fujma.1478028

A New Iterative Process Based on Almost Contraction Operators

Abstract

This research article provides proof of convergence in Banach spaces for a new fixed-point iterative process constructed with two operators satisfying certain conditions. Additionally, the convergence rate of this iterative process is examined, and the obtained result is supported by numerical examples. Finally, the concept of data dependence is analyzed.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

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

Publication Date

September 30, 2025

Submission Date

May 3, 2024

Acceptance Date

August 6, 2025

Published in Issue

Year 2025 Volume: 8 Number: 3

DOI

https://doi.org/10.33401/fujma.1478028

IZ

https://izlik.org/JA72ZW36UT

Cite

RIS / Bibtex

APA

Atalan, Y. (2025). A New Iterative Process Based on Almost Contraction Operators. Fundamental Journal of Mathematics and Applications, 8(3), 161-168. https://doi.org/10.33401/fujma.1478028

AMA

1.Atalan Y. A New Iterative Process Based on Almost Contraction Operators. Fundam. J. Math. Appl. 2025;8(3):161-168. doi:10.33401/fujma.1478028

Chicago

Atalan, Yunus. 2025. “A New Iterative Process Based on Almost Contraction Operators”. Fundamental Journal of Mathematics and Applications 8 (3): 161-68. https://doi.org/10.33401/fujma.1478028.

EndNote

Atalan Y (September 1, 2025) A New Iterative Process Based on Almost Contraction Operators. Fundamental Journal of Mathematics and Applications 8 3 161–168.

IEEE

[1]Y. Atalan, “A New Iterative Process Based on Almost Contraction Operators”, Fundam. J. Math. Appl., vol. 8, no. 3, pp. 161–168, Sept. 2025, doi: 10.33401/fujma.1478028.

ISNAD

Atalan, Yunus. “A New Iterative Process Based on Almost Contraction Operators”. Fundamental Journal of Mathematics and Applications 8/3 (September 1, 2025): 161-168. https://doi.org/10.33401/fujma.1478028.

JAMA

1.Atalan Y. A New Iterative Process Based on Almost Contraction Operators. Fundam. J. Math. Appl. 2025;8:161–168.

MLA

Atalan, Yunus. “A New Iterative Process Based on Almost Contraction Operators”. Fundamental Journal of Mathematics and Applications, vol. 8, no. 3, Sept. 2025, pp. 161-8, doi:10.33401/fujma.1478028.

Vancouver

1.Yunus Atalan. A New Iterative Process Based on Almost Contraction Operators. Fundam. J. Math. Appl. 2025 Sep. 1;8(3):161-8. doi:10.33401/fujma.1478028