Condensing operators and topological degree theory in standard fuzzy normed spaces
type: Item
instance of: scholarly article
title: Condensing operators and topological degree theory in standard fuzzy normed spaces
zbMATH Open document ID: 1216.47118
author: Jian-Zhong Xiao
author: Ying Lu
published in: Fuzzy Sets and Systems
publication date: 2010-05-10T00:00:00Z
review text: The level-cut measures of noncompactness are introduced in standard fuzzy normed spaces in the sense of \textit{T. Bag} and \textit{S. K. Samanta} [Fuzzy Sets Syst. 159, No. 6, 685--707 (2008; Zbl 1187.47061)]. Condensing operators in these spaces are studied and the corresponding topological degree is given. Some fixed point theorems with respect to condensing operators are derived by means of topological degree theory.
reviewed by: Dorel Miheţ
Mathematics Subject Classification ID: 47S40
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54C20
zbMATH DE Number: 5706281
zbMATH Keywords: fuzzy real number
zbMATH Keywords: fuzzy normed space
zbMATH Keywords: condensing operator
zbMATH Keywords: topological degree
zbMATH Keywords: measures of noncompactness
zbMATH Keywords: fixed point theorems
MaRDI profile type: Publication
full work available at URL: j.fss.2009.08.004
OpenAlex ID: W2059308590
cites work: Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
cites work: Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces
cites work: Operations on fuzzy numbers
cites work: An extension of Tietze's theorem
cites work: Q4421936
cites work: Q4150804
cites work: On \(I\)-topology generated by fuzzy norm
cites work: Finite dimensional fuzzy normed linear space
cites work: A couple of nonlinear equations with fuzzy mappings in fuzzy normed spaces
cites work: On fuzzy metric spaces
cites work: Q3336252
cites work: Some consequences of spacetime fuzziness
cites work: Degree theory for local condensing maps
cites work: Fuzzy compact operators and topological degree theory
cites work: Some fixed point theorems in fuzzy reflexive Banach spaces
cites work: Q3336431
cites work: Resonance theorems for family of quasi-homogeneous operators in fuzzy normed linear spaces
cites work: Statistical convergence in fuzzy normed linear spaces
cites work: On linearly topological structure and property of fuzzy normed linear space
cites work: Fuzzy normed space of operators and its completeness
cites work: Topological degree theory and fixed point theorems in fuzzy normed space
cites work: A new \(I\)-vector topology generated by a fuzzy norm
DOI: 10.1016/J.FSS.2009.08.004
description: scientific article; zbMATH DE number 5706281