%0 Journal Article %T Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces %J Communications in Nonlinear Analysis %I Research & Science Group Ltd. %Z 2371-7920 %A Ravindranadh Babu, Gutti Venkata %A Ratna Babu, Dasari %D 2019 %\ 08/01/2019 %V 6 %N 1 %P 40-59 %! Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces %K Common fixed points %K b-metric space %K b-continuous %K Almost Geraghty contraction type maps %R %X 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. %U https://www.cna-journal.com/article_90837_4d620fc22ac1fe3638819584c29e5049.pdf