The study of new fixed-point iteration schemes for solving absolute value equations.

Autor:	Ali R; School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, Zhejiang, PR China., Zhang Z; School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, Zhejiang, PR China., Awwad FA; Department of Quantitative analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia.
Jazyk:	angličtina
Zdroj:	Heliyon [Heliyon] 2024 Jul 15; Vol. 10 (14), pp. e34505. Date of Electronic Publication: 2024 Jul 15 (Print Publication: 2024).
DOI:	10.1016/j.heliyon.2024.e34505
Abstrakt:	Absolute value equations (AVEs) play a crucial role in solving various complexities across scientific computing, engineering, management science, and operations research. This article presents two fixed-point iteration schemes designed for such AVEs. Furthermore, we show some convergence conditions under specific circumstances. Lastly, the theoretical findings are validated using numerical examples, which emphasize the distinct advantages offered by the newly developed schemes. These results are highly promising and may stimulate future research in this domain. Competing Interests: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. (© 2024 The Author(s).)
Databáze:	MEDLINE
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