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<Article>
<Journal>
<PublisherName>OICC Press</PublisherName>
<JournalTitle>Communications in Nonlinear Analysis</JournalTitle>
<Issn>2371-7920</Issn>
<Volume>6</Volume>
<Issue>1</Issue>
<PubDate PubStatus="epublish">
<Year>2025</Year>
<Month>11</Month>
<Day>09</Day>
</PubDate>
</Journal>
<ArticleTitle>Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces</ArticleTitle>
<VernacularTitle></VernacularTitle>
<FirstPage></FirstPage>
<LastPage></LastPage>
<ELocationID EIdType="doi"></ELocationID>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>Gutti</FirstName>
<LastName>Venkata  Ravindranadh Babu</LastName>
<Affiliation></Affiliation>
<Identifier Source="ORCID">0000-0002-6272-2645</Identifier>
</Author>
<Author>
<FirstName>Dasari</FirstName>
<LastName>Ratna Babu</LastName>
<Affiliation></Affiliation>
<Identifier Source="ORCID">0000-0002-8734-7925</Identifier>
</Author>
</AuthorList>
<PublicationType>Journal Article</PublicationType>
<History>
<PubDate PubStatus="received">
<Year>2025</Year>
<Month>11</Month>
<Day>09</Day>
</PubDate>
</History>
<Abstract>In this paper, we introduce almost Geraghty contraction type maps for a single self map andprove the existence and uniqueness of ﬁxed points. We extend it to a pair of selfmaps by deﬁningalmost Geraghty contraction type pair of maps in which one of the maps is b-continuous in acomplete b-metric space. Further, we prove the existence of common ﬁxed points for a pair ofselfmaps satisfying a generalized contraction condition with rational expression in which one ofthe maps is b-continuous. Our results extend and generalize some of the known results that areavailable in the literature. We draw some corollaries from our results and provide examples insupport of our results.</Abstract>
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<Param Name="value">Common ﬁxed points</Param>
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<Object Type="keyword">
<Param Name="value">b-metric space</Param>
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<Object Type="keyword">
<Param Name="value">b-continuous</Param>
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<Object Type="keyword">
<Param Name="value">Almost Geraghty contraction type maps</Param>
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