Approximate behavior of bi-quadratic mappings in quasinormed spaces

DOI10.1155/2010/472721zbMath1216.39039OpenAlexW2163224266WikidataQ59253683 ScholiaQ59253683MaRDI QIDQ607968

Won-Gil Park, Jae-Hyeong Bae

Publication date: 6 December 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227130

zbMATH Keywords

Ulam-Hyers-Rassias stabilitybi-quadratic functional equation

Mathematics Subject Classification ID

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)

On an equation characterizing multi-additive-quadratic mappings and its Hyers-Ulam stability ⋮ Behavior of bi-cubic functions in Lipschitz spaces ⋮ On the asymptoticity aspect of Hyers-Ulam stability of quadratic mappings ⋮ Almost tri-cubic functions with Lipschitz condition ⋮ Remarks on the Hyers-Ulam stability of some systems of functional equations

Cites Work

• Unnamed Item
• Unnamed Item
• On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces
• Homomorphisms in quasi-Banach algebras associated with a pexiderized Cauchy-Jensen functional equation
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of the quadratic mapping in Banach modules
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• Stability of a mixed additive and cubic functional equation in quasi-Banach spaces
• On a bi-quadratic functional equation and its stability
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation
• STABILITY OF A QUADRATIC FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• Stability of the Cauchy functional equation in quasi-Banach spaces
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras
• On the stability of the quadratic mapping in normed spaces

This page was built for publication: Approximate behavior of bi-quadratic mappings in quasinormed spaces