Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Proving Fixed Point Theorems Employing Fuzzy $(\sigma,\mathcal{Z})$-Contractive Type Mappings

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. Preprints 2021, 2021080577 (doi: 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 (doi: 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.

Keywords

fuzzy $(\sigma,\mathcal{Z})$-contractive mappings; fuzzy metric spaces; fuzzy-$\mathcal{Z}$-contractive mappings}

Subject

MATHEMATICS & COMPUTER SCIENCE, Analysis

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.