@article { author = {Ravindranadh Babu, Gutti Venkata and Ratna Babu, Dasari}, title = {Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces}, journal = {Communications in Nonlinear Analysis}, volume = {6}, number = {1}, pages = {40-59}, year = {2019}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, 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.}, keywords = {Common fixed points,b-metric space,b-continuous,Almost Geraghty contraction type maps}, url = {https://www.cna-journal.com/article_90837.html}, eprint = {https://www.cna-journal.com/article_90837_4d620fc22ac1fe3638819584c29e5049.pdf} }