Hyers-Ulam stability of an additive-quadratic functional equation
type: Item
instance of: scholarly article
title: Hyers-Ulam stability of an additive-quadratic functional equation
zbMATH Open document ID: 1496.39019
DOI: 10.1007/978-3-030-84122-5_29
author: Themistocles M. Rassias
author: Jung Rye Lee
author: Choonkil Park
publication date: 2022-10-07T00:00:00Z
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7598330
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: mixed-type functional equation
zbMATH Keywords: Banach space
zbMATH Keywords: fuzzy Banach space
zbMATH Keywords: fixed-point method
MaRDI profile type: Publication
full work available at URL: 978-3-030-84122-5 29
OpenAlex ID: W4299553654
cites work: On the stability of the linear transformation in Banach spaces
cites work: APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS
cites work: Q4412354
cites work: Q4822087
cites work: Fixed point methods for the generalized stability of functional equations in a single variable
cites work: A fixed point theorem of the alternative, for contractions on a generalized complete metric space
cites work: Generalized hyperstability of a Drygas functional equation on a restricted domain using Brzdȩk's fixed point theorem
cites work: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
cites work: Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
cites work: On the stability of the linear functional equation in a single variable on complete metric groups
cites work: Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation
cites work: Q5208654
cites work: Q3913817
cites work: Q3781515
cites work: Jordan \((\theta, \phi)\)-derivations on Hilbert \(C^\ast\)-modules
cites work: Q4221945
cites work: Additive ρ-functional inequalities and equations
cites work: Additive ρ-functional inequalities in non-Archimedean normed spaces
cites work: Biderivations and bihomomorphisms in Banach algebras
cites work: Ulam stability of bihomomorphisms and biderivations in Banach algebras
cites work: Q4470094
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: Q3259049
cites work: Symmetric bi-derivations on prime and semi-prime rings
cites work: Permuting triderivations of prime and semiprime rings
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description: scientific article; zbMATH DE number 7598330