ON APPROXIMATELY ADDITIVE MAPPINGS IN 2-BANACH SPACES

DOI10.1017/S0004972719000868zbMath1440.39017OpenAlexW2967614449WikidataQ127365377 ScholiaQ127365377MaRDI QIDQ5222147

El-sayed El-hady, Janusz Brzdȩk

Publication date: 1 April 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719000868

zbMATH Keywords

fixed pointCauchy equationUlam stability2-norm2-Banach space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (5)

The generalized hyperstability of general linear equation in quasi-2-Banach space ⋮ On the Brzdȩk's fixed point approach to stability of a Drygas functional equation in 2-Banach spaces ⋮ Equivalence for various forms of quadratic functional equations and their generalized Hyers-Ulam-Rassias stability ⋮ On the existence of \(m\)-norms in vector spaces over valued fields ⋮ Ulam stability of functional equations in 2-Banach spaces via the fixed point method

Cites Work

• Hyperstability of general linear functional equation
• On a functional equation of trigonometric type
• Stability has many names
• Hyperstability of the Cauchy equation on restricted domains
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Approximate additive mappings in 2-Banach spaces and related topics
• Remark on hyperstability of the general linear equation
• On the Hyers-Ulam stability of an equation characterizing multi-quadratic mappings
• Stability of functional equations in single variable.
• On a fixed point theorem in 2-Banach spaces and some of its applications
• On the stability of the linear functional equation in a single variable on complete metric groups
• On Ulam's type stability of the linear equation and related issues
• Recent developments of the conditional stability of the homomorphism equation
• Ulam stability of operators
• Approximate multi-additive mappings in 2-Banach spaces
• Hyperstability of the Jensen functional equation
• ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES
• HYPERSTABILITY OF THE GENERAL LINEAR FUNCTIONAL EQUATION
• A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION
• Lineare 2‐normierte Räume
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
• On stability of the general linear equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: ON APPROXIMATELY ADDITIVE MAPPINGS IN 2-BANACH SPACES