Results on fixed points and common fixed points on bipolar \(\mathfrak{b}\)-metric space with applications
Authors
G. Mani
- Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602 105, Tamil Nadu, India.
S. S. Ramulu
- Department of Mathematics, S.A. Engineering College, Chennai-600077, Tamil Nadu, India.
S. Aljohani
- Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia.
Z. D. Mitrovic
- Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina.
N. Mlaiki
- Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia.
Abstract
In this paper, we present the concept of bipolar \(\mathfrak{b}\)-metric spaces and establish both fixed point and common fixed point theorems within this framework. Our results broaden and extend several well-known findings in the existing literature. To illustrate the applicability of our theorems, we provide a detailed example and a relevant application.
Share and Cite
ISRP Style
G. Mani, S. S. Ramulu, S. Aljohani, Z. D. Mitrovic, N. Mlaiki, Results on fixed points and common fixed points on bipolar \(\mathfrak{b}\)-metric space with applications, Journal of Mathematics and Computer Science, 37 (2025), no. 3, 274--286
AMA Style
Mani G., Ramulu S. S., Aljohani S., Mitrovic Z. D., Mlaiki N., Results on fixed points and common fixed points on bipolar \(\mathfrak{b}\)-metric space with applications. J Math Comput SCI-JM. (2025); 37(3):274--286
Chicago/Turabian Style
Mani, G., Ramulu, S. S., Aljohani, S., Mitrovic, Z. D., Mlaiki, N.. "Results on fixed points and common fixed points on bipolar \(\mathfrak{b}\)-metric space with applications." Journal of Mathematics and Computer Science, 37, no. 3 (2025): 274--286
Keywords
- Bipolar \(\mathfrak{b}\)-metric space
- fixed point
- covariant map
- contravariant map
MSC
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