<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2d1 20170631//EN" "JATS-journalpublishing1.dtd">
<ArticleSet>
  <Article>
    <Journal>
      <PublisherName>ijesm</PublisherName>
      <JournalTitle>International Journal of Engineering, Science and</JournalTitle>
      <PISSN>I</PISSN>
      <EISSN>S</EISSN>
      <Volume-Issue>volume 14,issue 11</Volume-Issue>
      <PartNumber/>
      <IssueTopic>Multidisciplinary</IssueTopic>
      <IssueLanguage>English</IssueLanguage>
      <Season>November 2025</Season>
      <SpecialIssue>N</SpecialIssue>
      <SupplementaryIssue>N</SupplementaryIssue>
      <IssueOA>Y</IssueOA>
      <PubDate>
        <Year>2025</Year>
        <Month>11</Month>
        <Day>10</Day>
      </PubDate>
      <ArticleType>Engineering, Science and Mathematics</ArticleType>
      <ArticleTitle>NONLINEAR CONTRACTIONS IN GENERALIZED FUZZY METRIC SPACE</ArticleTitle>
      <SubTitle/>
      <ArticleLanguage>English</ArticleLanguage>
      <ArticleOA>Y</ArticleOA>
      <FirstPage>32</FirstPage>
      <LastPage>39</LastPage>
      <AuthorList>
        <Author>
          <FirstName>Shikha</FirstName>
          <LastName>Shende</LastName>
          <AuthorLanguage>English</AuthorLanguage>
          <Affiliation/>
          <CorrespondingAuthor>N</CorrespondingAuthor>
          <ORCID/>
          <FirstName>Geeta</FirstName>
          <LastName>agrawal</LastName>
          <AuthorLanguage>English</AuthorLanguage>
          <Affiliation/>
          <CorrespondingAuthor>Y</CorrespondingAuthor>
          <ORCID/>
          <FirstName>Namrata</FirstName>
          <LastName>Tripathi</LastName>
          <AuthorLanguage>English</AuthorLanguage>
          <Affiliation/>
          <CorrespondingAuthor>Y</CorrespondingAuthor>
          <ORCID/>
        </Author>
      </AuthorList>
      <DOI/>
      <Abstract>This paper investigates new extensions of fixed point theorems within the context of generalized fuzzy metric spaces (GFMS). Building upon classical results in fuzzy metric spaces introduced by kramosil and michalek and the generalized structure proposed by George and Veeramani novel, we establish conditions for the existence and uniqueness of fixed points for a broader class of nonlinear contraction mappings. We also provide illustrative examples and potential applications to nonlinear differential equations and dynamic systems that exhibit uncertainty and imprecision.</Abstract>
      <AbstractLanguage>English</AbstractLanguage>
      <Keywords>Fixed Point Theorem, Generalized Fuzzy Metric Space, Contraction Mapping, Fuzzy Analysis, Nonlinear Systems</Keywords>
      <URLs>
        <Abstract>https://www.ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=16016&amp;title=NONLINEAR CONTRACTIONS IN GENERALIZED FUZZY METRIC SPACE</Abstract>
      </URLs>
      <References>
        <ReferencesarticleTitle>References</ReferencesarticleTitle>
        <ReferencesfirstPage>16</ReferencesfirstPage>
        <ReferenceslastPage>19</ReferenceslastPage>
        <References/>
      </References>
    </Journal>
  </Article>
</ArticleSet>