TY - JOUR
ID - 90837
TI - Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces
JO - Communications in Nonlinear Analysis
JA - CNA
LA - en
SN -
AU - Ravindranadh Babu, Gutti Venkata
AU - Ratna Babu, Dasari
AD - Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
Y1 - 2019
PY - 2019
VL - 6
IS - 1
SP - 40
EP - 59
KW - Common ﬁxed points
KW - b-metric space
KW - b-continuous
KW - Almost Geraghty contraction type maps
DO -
N2 - 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.
UR - http://www.cna-journal.com/article_90837.html
L1 - http://www.cna-journal.com/article_90837_4d620fc22ac1fe3638819584c29e5049.pdf
ER -