A new contraction and existence theorems on fuzzy metric space with a graph
Keywords:
coupled fixed point, point \(\mathcal{J}\)-\(γ\)-contraction mapping, fuzzy metric space(\(\mathcal{FM}\)-space)Abstract
In the present paper our aim is to develop coupled fixed point theorems in fuzzy metric space with graph. We introduce the concept of \(\mathcal{J}-γ\)-contraction mapping using the control function developed by Wardowski [16]. In current paper, we show the existence of coupled coincidence fixed point in fuzzy metric space with respect to graph. We also give the result having particular value of control function such that the \(\mathcal{J}-γ\)-contraction change to\(\mathcal{J}\)-fuzzy contraction.
Downloads
Published
2020-02-14
How to Cite
Gupta, V., Verma, M., & Kaur, J. (2020). A new contraction and existence theorems on fuzzy metric space with a graph. Italian Journal of Pure and Applied Mathematics, 43, 717–729. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7301
Issue
Section
Articoli - Forum Editrice
License
Copyright (c) 2020 Vishal Gupta, Manu Verma, Jatinderdeep Kaur
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
