On two conditional Pexider functional equations and their stabilities

DOI10.1016/J.NA.2008.03.054zbMath1162.39018OpenAlexW2018197681MaRDI QIDQ1006704

Justyna Sikorska

Publication date: 25 March 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.2008.03.054

zbMATH Keywords

Hyers-Ulam-Rassias stabilityconditional functional equationPexider functional equations

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (22)

Hyperstability of a logarithmic-type functional equation on restricted domains ⋮ A conditional exponential functional equation and its stability ⋮ Approximate Drygas mappings on a set of measure zero ⋮ Unnamed Item ⋮ 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 ⋮ Hyperstability of a Linear Functional Equation on Restricted Domains ⋮ Measure Zero Stability Problem for Drygas Functional Equation with Complex Involution ⋮ Stability of a conditional Cauchy equation ⋮ On a separation for the Cauchy equation on spheres ⋮ Generalized stability of the Cauchy and the Jensen functional equations on spheres ⋮ Measure zero stability problem of a new quadratic functional equation ⋮ Stability of a monomial functional equation on restricted domains of Lebesgue measure zero ⋮ Quadratic functional equations in a set of Lebesgue measure zero ⋮ Exponential functional equation on spheres ⋮ Stability of a conditional Cauchy equation on a set of measure zero ⋮ ON A MEASURE ZERO STABILITY PROBLEM OF A CYCLIC EQUATION ⋮ Stability of a quartic functional equation in restricted domains ⋮ On a Weak Version of Hyers–Ulam Stability Theorem in Restricted Domains ⋮ Recent developments of the conditional stability of the homomorphism equation ⋮ Orthogonalities and functional equations

Cites Work

• Generalized stability of the Cauchy and the Jensen functional equations on spheres
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation
• Orthogonality in normed linear spaces
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