<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-24T00:14:44Z</responseDate><request verb="GetRecord" identifier="oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/16546" metadataPrefix="oai_dc">https://gumushane-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/16546</identifier><datestamp>2026-10-23T21:06:46Z</datestamp><setSpec>openaire</setSpec><setSpec>com_gumushane_10000</setSpec><setSpec>col_gumushane_10001</setSpec><setSpec>com_gumushane_10007</setSpec><setSpec>col_gumushane_10171</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>Solutions of linear Fredholm integral equations with the three- step iteration method</dc:title><dc:creator>Cona, Lale</dc:creator><dc:creator>Sengül, Kadir</dc:creator><dc:subject>Banach Fixed Point Theorem</dc:subject><dc:subject>Data Dependency</dc:subject><dc:subject>Fredholm</dc:subject><dc:subject>Integral Equations</dc:subject><dc:subject>Three-Step</dc:subject><dc:subject>Iteration Method</dc:subject><dc:description>In this article, the solution of the second type of nonhomogeneous linear Fredholm integral equations is investigated using a three-step iteration algorithm. It has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Morever, data dependency is obtained for the second type of nonhomogeneous linear Fredholm integral equations. This result is supported by an example.</dc:description><dc:publisher>YILDIZ TECHNICAL UNIV</dc:publisher><dc:date>2024-02</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/gumushane/16546</dc:identifier><dc:identifier>https://doi.org/10.14744/sigma.2024.00020</dc:identifier><dc:identifier>1304-7205</dc:identifier><dc:language>en</dc:language><dc:relation>SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/16546</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>