From fuzzy metric spaces to modular metric spaces: a fixed point approach
- Autori: Tchier, F.; Vetro, C.; Vetro, F.
- Anno di pubblicazione: 2017
- Tipologia: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/265025
Abstract
We propose an intuitive theorem which uses some concepts of auxiliary functions for establishing existence and uniqueness of the fixed point of a self-mapping. First we work in the setting of fuzzy metric spaces in the sense of George and Veeramani, then we deduce some consequences in modular metric spaces. Finally, a sample homotopy result is derived making use of the main theorem.