Geodesic
From fuzzy metric spaces to modular metric spaces: a fixed point approach
Tchier, Fairouz1 ; Vetro, Calogero2 ; Vetro, Francesca3
1 Mathematics Department, College of Science (Malaz), King Saud University, P. O. Box 22452, Riyadh, King Saudi Arabia
2 Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy
3 Department of Energy, Information Engineering and Mathematical Models (DEIM), University of Palermo, Viale delle Scienze, 90128, Palermo, Italy
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 451-464.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.02.11
Classification : 54H25, 54A40
Keywords: Fixed point, fuzzy metric space, modular metric space.

Tchier, Fairouz 1 ; Vetro, Calogero 2 ; Vetro, Francesca 3

1 Mathematics Department, College of Science (Malaz), King Saud University, P. O. Box 22452, Riyadh, King Saudi Arabia
2 Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy
3 Department of Energy, Information Engineering and Mathematical Models (DEIM), University of Palermo, Viale delle Scienze, 90128, Palermo, Italy 
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Tchier, Fairouz; Vetro, Calogero; Vetro, Francesca. From fuzzy metric spaces to modular metric spaces: a fixed point approach. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 2, p. 451-464. doi : 10.22436/jnsa.010.02.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.02.11/

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