A New Note on Convergence and Data Dependence Concept for a Volterra Integral Equation by Fixed Point Iterative Algorithm

dc.contributor.author	Atalan, Yunus
dc.contributor.author	Maldar, S.
dc.date.accessioned	2024-05-02T06:49:36Z
dc.date.available	2024-05-02T06:49:36Z
dc.date.issued	2023
dc.department	Sabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstract	In this paper, we prove that a three-step iterative algorithm converges strongly to the solution of a functional Volterra integral equation of the second kind. We also show the solution presented in the convergence theorem can obtain by removing a strong restriction imposed on the control sequence. Finally, we analyse the data-dependence result by using this iterative algorithm, and to support obtained result we give an example.
dc.identifier.doi	10.30495/JME.2023.2508
dc.identifier.isbn	1735-8299
dc.identifier.issue	6	en_US
dc.identifier.uri	10.30495/JME.2023.250810.30495/JME.2023.2508
dc.identifier.uri	https://hdl.handle.net/20.500.12451/11746
dc.identifier.volume	17	en_US
dc.identifier.wosquality	N/A
dc.indekslendigikaynak	Web of Science
dc.language.iso	en
dc.publisher	Islamic Azad University
dc.relation.ispartof	Journal of Mathematical Extension
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject	Iterative Algorithm
dc.subject	Contraction Principle
dc.subject	Volterra Integral Equation
dc.subject	Convergence
dc.subject	Data Dependence
dc.title	A New Note on Convergence and Data Dependence Concept for a Volterra Integral Equation by Fixed Point Iterative Algorithm
dc.type	Article