TY - JOUR
ID - 242300
TI - Fixed Point Theorems for Geraghty Type Contraction Mappings in Complete Partial $b_{v}left( sright) $-Metric Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Altiparmak, Ebru
AU - Karahan, Ibrahim
AD - Department of Mathematics, Faculty of Science, Erzurum Technical University, P.O.Box 25050, Erzurum, Turkey.
Y1 - 2021
PY - 2021
VL - 18
IS - 2
SP - 45
EP - 62
KW - Generalized Geraghty contraction
KW - Fixed point
KW - Partial $b_{v}left( sright) $ metric spaces
KW - Generalized metric space
DO - 10.22130/scma.2020.127414.799
N2 - In this paper, necessary and sufficient conditions for the existence and uniqueness of fixed points of generalized Geraghty type contraction mappings are given in complete partial $b_{v}(s) $-metric spaces. The results are more general than several results that exist in the literature because of the considered space. A numerical example is given to support the obtained results. Also, the existence and uniqueness of the solutions of an integral equation has been verified considered as an application.
UR - https://scma.maragheh.ac.ir/article_242300.html
L1 - https://scma.maragheh.ac.ir/article_242300_0007c9963381ef9edcf6d0b06e90eb30.pdf
ER -