Common Fixed Point Theorems for Mappings Satisfying implicit Relation in Bipolar metric Space}
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.
Authors
- Khizar Hyatt Khan
- Rajagopalan Ramaswamy (ORCID: https://orcid.org/0000-0001-9027-0810)
- Ola A. Ashour Abdelnaby (ORCID: https://orcid.org/0000-0003-1687-3212)
- Chandra Prakash Dhuri (ORCID: https://orcid.org/0000-0002-1431-4030)
- Murthy Penumarthy Parvateesam
Institutions
- Prince Sattam Bin Abdulaziz University (SA)
- Guru Ghasidas Vishwavidyalaya (IN)
Publication Details
- Journal
- European Journal of Pure and Applied Mathematics
- Published
- 2025-05-01
- DOI
- https://doi.org/10.29020/nybg.ejpam.v18i2.5982
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Prince Sattam bin Abdulaziz University