On generalized fuzzy normed spaces and coincidence point theorems
type: Item
instance of: scholarly article
title: On generalized fuzzy normed spaces and coincidence point theorems
zbMATH Open document ID: 1228.47073
author: Ioan Goleţ
published in: Fuzzy Sets and Systems
publication date: 2010-05-10T00:00:00Z
review text: In this paper, some generalized fuzzy norms are introduced and studied. The relationships between these fuzzy norms and fuzzy metrics and between these fuzzy norms and the topological structures on the base linear space are given. Moreover, some fixed point theorems and coincidence point theorems for fuzzy generalized contractive mappings are proved under suitable conditions.
reviewed by: Nan-Jing Huang
Mathematics Subject Classification ID: 47S40
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 5706288
zbMATH Keywords: fuzzy normed space
zbMATH Keywords: convergence
zbMATH Keywords: coincidence point
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: j.fss.2009.10.004
OpenAlex ID: W2134304617
cites work: Fuzzy bounded linear operators
cites work: \(\Phi\)-contractor and the solutions for nonlinear operator equations in fuzzy normed spaces
cites work: On some results in fuzzy metric spaces
cites work: Approximation of Fuzzy Normed Space-Valued Functions
cites work: Some remarks on functions with values in probabilistic normed spaces
cites work: On fixed-point theorems in fuzzy metric spaces
cites work: A couple of nonlinear equations with fuzzy mappings in fuzzy normed spaces
cites work: Statistical Metrics
cites work: Fuzzy \(\psi \)-contractive mappings in non-Archimedean fuzzy metric spaces
cites work: Fuzzy and random sets
cites work: On fuzzy metric space
cites work: Q3336431
cites work: Topological degree theory and fixed point theorems in fuzzy normed space
cites work: On linearly topological structure and property of fuzzy normed linear space
cites work: Fuzzy sets
DOI: 10.1016/J.FSS.2009.10.004
description: scientific article; zbMATH DE number 5706288