Fundamental Stabilities of Various Forms of Complex Valued Functional Equations

DOI10.1007/978-3-319-99918-0_2zbMath1423.39037OpenAlexW2955337501MaRDI QIDQ5239054

Hemen Dutta, Beri Venkatachalapathy Senthil Kumar

Publication date: 21 October 2019

Published in: Applied Mathematical Analysis: Theory, Methods, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-99918-0_2

zbMATH Keywords

quadratic functional equationfixed point methodquartic functional equationadditive functional equationgeneralized Ulam-Hyers stabilitycubic functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Systems of functional equations and inequalities (39B72)

Cites Work

• Approximate \((m,n)\)-Cauchy-Jensen additive mappings in \(C^\ast\)-algebras
• Generalized Hyers-Ulam stability for a general mixed functional equation in quasi-\(\beta \)-normed spaces
• Generalized Hyers-Ulam stability for general additive functional equations in quasi-\(\beta \)-normed spaces
• On approximation of approximately linear mappings by linear mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the stability of the linear transformation in Banach spaces
• Functional Equations and Inequalities
• On the Stability of the Linear Mapping in Banach Spaces
• On some fixed points theorems in generalized complete metric spaces
• Stability of functional equations in several variables
• On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings
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