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<ArticleSet>
<Article>
<Journal>
<PublisherName>OICC Press</PublisherName>
<JournalTitle>Mathematical Analysis and its Contemporary Applications</JournalTitle>
<Issn></Issn>
<Volume>7</Volume>
<Issue>4</Issue>
<PubDate PubStatus="epublish">
<Year>2025</Year>
<Month>11</Month>
<Day>10</Day>
</PubDate>
</Journal>
<ArticleTitle>Solving nonlinear integral equation using fuzzy F-Interpolative Berinde weak contraction</ArticleTitle>
<VernacularTitle></VernacularTitle>
<FirstPage></FirstPage>
<LastPage></LastPage>
<ELocationID EIdType="doi">10.30495/maca.2025.2066672.1144</ELocationID>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>Shobha</FirstName>
<LastName>Jain</LastName>
<Affiliation>Shri Vaishnav Vidyapeeth Vishwavidyalaya, Indore (M.P.), India</Affiliation>
<Identifier Source="ORCID">https://orcid.org/0000-0002-9253-8689</Identifier>
</Author>
<Author>
<FirstName>Shishir</FirstName>
<LastName>Jain</LastName>
<Affiliation>Shri Vaishnav Vidyapeeth Vishwavidyalaya, Indore (M.P.), India</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
<Author>
<FirstName>Stojan</FirstName>
<LastName>Radenović</LastName>
<Affiliation>Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd 35, Serbia</Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
</AuthorList>
<PublicationType>Journal Article</PublicationType>
<History>
<PubDate PubStatus="received">
<Year>2025</Year>
<Month>11</Month>
<Day>10</Day>
</PubDate>
</History>
<Abstract>This study presents a contraction referred to as fuzzy F-interpolative Berinde weak contraction, achieved by integrating two primary contractions, namely F-contraction and Berinde weak contraction, using a F-function within a fuzzy metric space. Utilizing this contraction, we have established a fixed point theorem applicable to self-mappings. To illustrate the implications of our results, we investigate the existence of solutions for nonlinear integral equations. An example has been devised to substantiate the established result.</Abstract>
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<Object Type="keyword">
<Param Name="value">Fuzzy metric space</Param>
</Object>
<Object Type="keyword">
<Param Name="value">fixed point</Param>
</Object>
<Object Type="keyword">
<Param Name="value">F-contraction</Param>
</Object>
<Object Type="keyword">
<Param Name="value">fuzzy F-Interpolative Berinde weak contraction</Param>
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</Article>
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