TY  - JOUR
T1  - Ćirić contraction with graphical structure of bipolar metric spaces and related fixed point theorems
AU  - Mutlu, Ali
AU  - Younıs, Mudasir
AU  - Ahmad, Haroon
PY  - 2024
DA  - December
DO  - 10.15672/hujms.1302743
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1588
EP  - 1606
VL  - 53
IS  - 6
LA  - en
AB  - We present the novel concept of graphical bipolar metric-type space in this article, which combines the notions of graph theory with fixed point theory. We prove that every bipolar metric space is a graphical bipolar metric space but the converse is not true in general. Various concepts like covariant mapping, contravariant mapping, and Cauchy bisequence are also discussed within the context of graphical bipolar metric-type spaces. Furthermore, in this study, we show that fixed point results exist in graphical structures of bipolar metric spaces and a series of examples are provided to support the main results within the realm of the graph structure.
KW  - bipolar metric space
KW  - Ćirić contraction
KW  - fixed point
KW  - graph
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UR  - https://doi.org/10.15672/hujms.1302743
L1  - https://dergipark.org.tr/en/download/article-file/3166097
ER  -