On Banach contraction principles in fuzzy metric spaces

[EN] In this paper we discuss the concept of Cauchy sequence due to Grabiec, that we call G-Cauchy, in the context of fuzzy metric spaces. It leads to introduce and study a concept of weak $-completeness in fuzzy and classical context. Then, we generalize the celebrated Grabiec's fuzzy Bana...

Full description

Bibliographic Details
Authors: Gregori Gregori, Valentín|||0000-0002-5983-6182, Miñana, Juan-José|||0000-0001-9835-0700, Sapena Piera, Almanzor|||0000-0001-8473-6063
Format: article
Publication Date:2018
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/102264
Online Access:https://riunet.upv.es/handle/10251/102264
Access Level:Open access
Keyword:Fixed point theorem
fuzzy metric space
G-Cauchy sequence
MATEMATICA APLICADA
Description
Summary:[EN] In this paper we discuss the concept of Cauchy sequence due to Grabiec, that we call G-Cauchy, in the context of fuzzy metric spaces. It leads to introduce and study a concept of weak $-completeness in fuzzy and classical context. Then, we generalize the celebrated Grabiec's fuzzy Banach Contraction Principle. Also, we extend the Mihet's fixed point theorem given for weak B-contractive mappings.

Similar Items