Zanco PublishingCommunications in Nonlinear Analysis2371-79206120190801Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces405990837ENGutti VenkataRavindranadh BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaDasariRatna BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaJournal Article20190717In this paper, we introduce almost Geraghty contraction type maps for a single self map and<br />prove the existence and uniqueness of ﬁxed points. We extend it to a pair of selfmaps by deﬁning<br />almost Geraghty contraction type pair of maps in which one of the maps is b-continuous in a<br />complete b-metric space. Further, we prove the existence of common ﬁxed points for a pair of<br />selfmaps satisfying a generalized contraction condition with rational expression in which one of<br />the maps is b-continuous. Our results extend and generalize some of the known results that are<br />available in the literature. We draw some corollaries from our results and provide examples in<br />support of our results.http://www.cna-journal.com/article_90837_4d620fc22ac1fe3638819584c29e5049.pdf