Exponential functional equation on spheres

DOI10.1016/j.aml.2009.09.004zbMath1205.39032OpenAlexW2046481463MaRDI QIDQ710983

Justyna Sikorska

Publication date: 25 October 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.09.004

zbMATH Keywords

stabilitynormed spaceexponential equationAbelian semigroupconditional functional equations

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 (11)

A generalized Hyers-Ulam stability of a pexiderized logarithmic functional equation in restricted domains ⋮ Remarks on stability of linear recurrence of higher order ⋮ A fixed point approach to the stability of Pexider quadratic functional equation with involution ⋮ Stability of a Jensen type logarithmic functional equation on restricted domains and its asymptotic behaviors ⋮ Stability of Jensen-type functional equations on restricted domains in a group and their asymptotic behaviors ⋮ On stability of a family of functional equations ⋮ Solution and stability of the multiquadratic functional equation ⋮ Generalized stability of multi-additive mappings ⋮ On the Generalized Hyers–Ulam Stability of the Pexider Equation on Restricted Domains ⋮ Recent developments of the conditional stability of the homomorphism equation ⋮ Orthogonalities and functional equations

Cites Work

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• On the stability of functional equations
• Generalized stability of the Cauchy and the Jensen functional equations on spheres
• On a Pexiderized conditional exponential functional equation
• On two conditional Pexider functional equations and their stabilities
• On the Cauchy difference on normed spaces
• Approximate solutions of the Gołąb-Schinzel equation
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• The stability of the exponential equation
• On the Stability of the Linear Functional Equation
• On the isosceles orthogonally exponential mappings

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