Convergence and stability analysis of a new four-step fixed-point algorithm

Atalan, Yusuf; Kılıç, Esra

Convergence and stability analysis of a new four-step fixed-point algorithm

dc.authorid	0000-0002-5912-7087
dc.authorid	0000-0002-3460-5089
dc.contributor.author	Atalan, Yusuf
dc.contributor.author	Kılıç, Esra
dc.date.accessioned	2022-07-04T08:09:04Z
dc.date.available	2022-07-04T08:09:04Z
dc.date.issued	2022
dc.department	Sabire Yazıcı Fen Edebiyat Fakültesi
dc.description.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.
dc.identifier.doi	10.29002/asujse.1096163
dc.identifier.endpage	70	en_US
dc.identifier.issn	2587-1277
dc.identifier.issue	1	en_US
dc.identifier.startpage	57	en_US
dc.identifier.uri	https://dx.doi.org/10.29002/asujse.1096163
dc.identifier.uri	https://hdl.handle.net/20.500.12451/9538
dc.identifier.volume	6	en_US
dc.language.iso	en
dc.publisher	Aksaray Üniversitesi
dc.relation.ispartof	Aksaray University Journal of Science and Engineering
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Stability
dc.subject	Convergence
dc.subject	Fixed-point Algorithm
dc.subject	Convergence Speed
dc.title	Convergence and stability analysis of a new four-step fixed-point algorithm
dc.type	Article