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

Tchier, F.

Risultato della ricerca: Article

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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Fuzzy Metric Space
Metric space
Fixed point
Auxiliary Function
Theorem
Homotopy
Intuitive
Deduce
Existence and Uniqueness
Concepts

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title = "From fuzzy metric spaces to modular metric spaces: a fixed point approach",
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.",
author = "{Tchier, F.} and Calogero Vetro and Francesca Vetro",
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AU - Tchier, F.

AU - Vetro, Calogero

AU - Vetro, Francesca

PY - 2017

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N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/265025

UR - http://dx.doi.org/10.22436/jnsa.010.02.11

M3 - Article

VL - 10

SP - 451

EP - 464

JO - Journal of Nonlinear Science and Applications

JF - Journal of Nonlinear Science and Applications

SN - 2008-1898

ER -