%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 Zanco Publishing
%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 http://www.cna-journal.com/article_90837_4d620fc22ac1fe3638819584c29e5049.pdf