Version 1
: Received: 31 August 2021 / Approved: 1 September 2021 / Online: 1 September 2021 (09:21:14 CEST)
How to cite:
Saleh, H. N.; Imdad, M.; Sessa, S.; Di Martino, F. Proving Fixed Point Theorems Employing Fuzzy $(\sigma,\mathcal{Z})$-Contractive Type Mappings. Preprints2021, 2021080577. https://doi.org/10.20944/preprints202108.0577.v1
Saleh, H. N.; Imdad, M.; Sessa, S.; Di Martino, F. Proving Fixed Point Theorems Employing Fuzzy $(\sigma,\mathcal{Z})$-Contractive Type Mappings. Preprints 2021, 2021080577. https://doi.org/10.20944/preprints202108.0577.v1
Saleh, H. N.; Imdad, M.; Sessa, S.; Di Martino, F. Proving Fixed Point Theorems Employing Fuzzy $(\sigma,\mathcal{Z})$-Contractive Type Mappings. Preprints2021, 2021080577. https://doi.org/10.20944/preprints202108.0577.v1
APA Style
Saleh, H. N., Imdad, M., Sessa, S., & Di Martino, F. (2021). Proving Fixed Point Theorems Employing Fuzzy $(\sigma,\mathcal{Z})$-Contractive Type Mappings. Preprints. https://doi.org/10.20944/preprints202108.0577.v1
Chicago/Turabian Style
Saleh, H. N., Salvatore Sessa and Ferdinando Di Martino. 2021 "Proving Fixed Point Theorems Employing Fuzzy $(\sigma,\mathcal{Z})$-Contractive Type Mappings" Preprints. https://doi.org/10.20944/preprints202108.0577.v1
Abstract
In this article, the concept of fuzzy $(\sigma,\mathcal{Z})$-contractive mapping has been introduced in fuzzy metric spaces which is an improvement over the corresponding concept recently introduced by Shukla et al. [Fuzzy Sets and system. 350 (2018) 85--94]. Thereafter, we utilized our newly introduced concept to prove some existence and uniqueness theorems in $\mathcal{M}$-complete fuzzy metric spaces. Our results extend and generalize the corresponding results of Shukla et al.. Moreover, an example is adopted to exhibit the utility of newly obtained results.
Copyright:
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.