The Hyers-Ulam-Rassias stability of the pexiderized equations

DOI10.1016/j.na.2005.02.080zbMath1224.39047OpenAlexW2081391433MaRDI QIDQ1000073

Dal-Won Park, Yang-Hi Lee

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.080

zbMATH Keywords

Hyers-Ulam-Rassias stabilityquadratic functionpexiderized quadratic equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82)

Cites Work

• Unnamed Item
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of the Pexider equation
• A generalization of the Hyers-Ulam-Rassias stability of the Pexiderized quadratic equations
• On Hyers-Ulam-Rassias stability of the Pexider equation
• On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality
• Proprieta’ locali e approssimazione di operatori
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION OF DAVISON
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• Some further generalizations of the Hyers-Ulam-Rassias stability of functional equations
• On the stability of the quadratic mapping in normed spaces