TY - JOUR
T1 - Common Fixed Point Theorems for Mappings Satisfying implicit Relation in Bipolar metric Space
AU - Murthy, Penumarthy Parvateesam
AU - Dhuri, Chandra Prakash
AU - Ramaswamy, Rajagopalan
AU - Khan, Khizar Hayat
AU - Abdelnaby, Ola Ashour
N1 - Publisher Copyright:
© 2025 The Author(s).
PY - 2025/4
Y1 - 2025/4
N2 - In this article, we introduce the concept of compatible mappings of type (A) and weaken the same in the setting of Bipolar metric spaces and established fixed point results in the setting of Bipolar metric spaces, using implicit relation function. The derived results have been supplemented with suitable non-trivial examples. Our results have extended and generalized some results proven in the past and some open problems for future research has been given.
AB - In this article, we introduce the concept of compatible mappings of type (A) and weaken the same in the setting of Bipolar metric spaces and established fixed point results in the setting of Bipolar metric spaces, using implicit relation function. The derived results have been supplemented with suitable non-trivial examples. Our results have extended and generalized some results proven in the past and some open problems for future research has been given.
KW - Fixed points
KW - bipolar metric space
KW - compatible mapping of type (A)
KW - contravariant map
KW - covariant map
KW - property (E.A.) Cauchy bisequence
UR - http://www.scopus.com/inward/record.url?scp=105004367517&partnerID=8YFLogxK
U2 - 10.29020/nybg.ejpam.v18i2.5982
DO - 10.29020/nybg.ejpam.v18i2.5982
M3 - Article
AN - SCOPUS:105004367517
SN - 1307-5543
VL - 18
JO - European Journal of Pure and Applied Mathematics
JF - European Journal of Pure and Applied Mathematics
IS - 2
M1 - 5982
ER -