Convergence and Stability Analysis of a New Four-Step Fixed-Point Algorithm

Yunus Atalan; Esra Kılıç

doi:10.29002/asujse.1096163

EN

Convergence and Stability Analysis of a New Four-Step Fixed-Point Algorithm

Abstract

The concept of stability is studied on many different types of mathematical structures. This concept can be thought of as the small changes that will be applied in the structure studied should not disrupt the functioning of this structure. In this context, we performed the convergence and stability analysis of the new four-step iteration algorithm that we defined in this study, under appropriate conditions. In addition, we execute a speed comparison with existing algorithms to prove that the new algorithm is effective and useful, and we gave a numerical example to support our result.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

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

Esra Kılıç
0000-0002-3460-5089
Türkiye

Publication Date

June 30, 2022

Submission Date

March 30, 2022

Acceptance Date

April 27, 2022

Published in Issue

Year 2022 Volume: 6 Number: 1

DOI

https://doi.org/10.29002/asujse.1096163

IZ

https://izlik.org/JA24LG48ZE

Cite

RIS / Bibtex

APA

Atalan, Y., & Kılıç, E. (2022). Convergence and Stability Analysis of a New Four-Step Fixed-Point Algorithm. Aksaray University Journal of Science and Engineering, 6(1), 57-70. https://doi.org/10.29002/asujse.1096163

Convergence and Stability Analysis of a New Four-Step Fixed-Point Algorithm

Abstract

Keywords

Öz

References

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Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite