THE HYERS-ULAM STABILITY OF A QUADRATIC FUNCTIONAL EQUATION WITH INVOLUTION IN PARANORMED SPACES

DOI10.11568/kjm.2016.24.1.41zbMath1432.39022OpenAlexW2343215901MaRDI QIDQ5216573

Chang Il Kim, Chang Hyeob Shin

Publication date: 18 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2016.24.1.41

zbMATH Keywords

paranormed spacequadratic functional equationinvolutionfixed point method

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)

Cites Work

• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• Functional equations on abelian groups with involution
• Hyers-Ulam stability of functional equations in several variables
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• Stability of two types of cubic functional equations in non-archimedean spaces
• Stability of functional equations in non-Archimedean spaces
• On the Hyers-Ulam stability of approximately Pexider mappings
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• Sur la convergence statistique
• Approximate homomorphisms
• Stability of functional equations in several variables
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