TY - JOUR
T1 - (α − ψ) Meir–Keeler Contractions in Bipolar Metric Spaces
AU - Kumar, Manoj
AU - Kumar, Pankaj
AU - Ramaswamy, Rajagopalan
AU - Abdelnaby, Ola A.Ashour
AU - Elsonbaty, Amr
AU - Radenović, Stojan
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/3
Y1 - 2023/3
N2 - In this paper, we introduce the new notion of contravariant (Formula presented.) Meir–Keeler contractive mappings by defining (Formula presented.) -orbital admissible mappings and covariant Meir–Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.
AB - In this paper, we introduce the new notion of contravariant (Formula presented.) Meir–Keeler contractive mappings by defining (Formula presented.) -orbital admissible mappings and covariant Meir–Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.
KW - (α − ψ) Meir–Keeler contractive mappings
KW - bipolar metric space
KW - covariant and contravariant mappings
KW - fixed point
UR - http://www.scopus.com/inward/record.url?scp=85151439692&partnerID=8YFLogxK
U2 - 10.3390/math11061310
DO - 10.3390/math11061310
M3 - Article
AN - SCOPUS:85151439692
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 6
M1 - 1310
ER -