The stability of the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces

Authors:
Dorel Miheţ
Affiliations:
West University of Timişoara, Faculty of Mathematics and Computer Science, Bv. V. Parvan 4, 400223 Timişoara, Romania
Venue:
Fuzzy Sets and Systems
Year:
2010

Citing 7
Cited 3

On set-valued nonlinear equations in Menger probabilistic normed spaces

Fuzzy Sets and Systems
Fuzzy versions of Hyers--Ulam--Rassias theorem

Fuzzy Sets and Systems
Fuzzy stability of the Jensen functional equation

Fuzzy Sets and Systems
Fuzzy stability of a functional equation associated with inner product spaces

Fuzzy Sets and Systems
Stability of additive mappings in non-Archimedean fuzzy normed spaces

Fuzzy Sets and Systems
A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces

Fuzzy Sets and Systems
The fixed point method for fuzzy stability of the Jensen functional equation

Fuzzy Sets and Systems

The stability of the quartic functional equation in various spaces

Computers & Mathematics with Applications
Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces

Computers & Mathematics with Applications
Perturbation of generalized derivations in fuzzy Menger normed algebras

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

A stability result for the additive Cauchy functional equation in non-Archimedean fuzzy normed spaces over a field with valuation is given by using the concept of countable extension of a t-norm.