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.
|Numero di pagine||14|
|Rivista||THE JOURNAL OF NONLINEAR SCIENCES AND ITS APPLICATIONS|
|Stato di pubblicazione||Published - 2017|