Fixed points of operators with multiplicative closed graphs on bipolar b-multiplicative metric spaces
Abstract
This work focusses on fixed point iterations of a multiplicative contraction mapping on the bipolar b-metric space domain. We develop a map that maps points from one set in the series to the next and fulfils the multiplicative contraction condition with regard to an expanding sequence of subsets in a bipolar b-multiplicative metric space. In this manner, we provide many fixed-point theorems for different multiplicative contraction mappings with multiplicative closed graph. This comprehensive study greatly contributes to the identification of fixed-point theory inside the multiplicative metric spaces framework and generates significant predictions.
Copyright © 2024 J. Mercy Arokia Rani, A. Leema Maria Prakasam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
J. M. A. Rani, A. L. M. Prakasam, Fixed points of operators with multiplicative closed graphs on bipolar b-multiplicative metric spaces, Adv. Fixed Point Theory 14 (2024), 57. https://doi.org/10.28919/afpt/8836
BibTeX
@article{Rani2024,
author = {Rani, J. Mercy Arokia and Prakasam, A. Leema Maria},
title = {Fixed points of operators with multiplicative closed graphs on bipolar b-multiplicative metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {57},
doi = {10.28919/afpt/8836}
}