From fuzzy metric spaces to modular metric spaces: a fixed point approach

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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.
Lingua originaleEnglish
pagine (da-a)451-464
Numero di pagine14
RivistaTHE JOURNAL OF NONLINEAR SCIENCES AND ITS APPLICATIONS
Volume10
Stato di pubblicazionePublished - 2017

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