Approximation of the mixed additive and cubic functional equation in paranormed spaces

DOI10.22436/jnsa.010.05.29zbMath1412.39037OpenAlexW2615943169MaRDI QIDQ4631152

Zhi Hua Wang, Prasanna K. Sahoo

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.05.29

zbMATH Keywords

Hyers-Ulam stabilityparanormed spaceadditive mapcubic map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Systems of functional equations and inequalities (39B72) Parametrices in context of PDEs (35A17)

Related Items (3)

Unnamed Item ⋮ Approximation of additive functional equations in NA Lie \(C^\star\)-algebras ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional equations in paranormed spaces
• Stability of an AQCQ-functional equation in paranormed spaces
• Functional equations and inequalities in paranormed spaces
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• The stability of homomorphisms and amenability, with applications to functional equations
• On approximation of approximately linear mappings by linear mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• An AQCQ-functional equation in paranormed spaces
• Stability of a mixed additive and cubic functional equation in quasi-Banach spaces
• On the stability of the linear transformation in Banach spaces
• Functional Equations and Inequalities with Applications
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables

This page was built for publication: Approximation of the mixed additive and cubic functional equation in paranormed spaces