On Hyers-Ulam-Rassias stability of the Pexider equation

DOI10.1006/jmaa.1999.6521zbMath0940.39021OpenAlexW1982403343MaRDI QIDQ1961023

Dong-Soo Shin, Byung-Do Kim, Kil-Woung Jun

Publication date: 17 July 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6521

zbMATH Keywords

Hyers-Ulam-Rassias stabilityBanach spaceabelian groupPexider functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (15)

A generalization of the Hyers-Ulam-Rassias stability of the Pexiderized quadratic equations ⋮ On the stability of the orthogonal pexiderized Cauchy equation ⋮ A fixed point approach to the stability of Pexider quadratic functional equation with involution ⋮ Unnamed Item ⋮ On the stability of a new Pexider-type functional equation ⋮ On Hyers-Ulam-Rassias stability of functional equations ⋮ Stability of the pexiderized Cauchy and Jensen's equations on restricted domains ⋮ Unnamed Item ⋮ On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings ⋮ Some further generalizations of the Hyers-Ulam-Rassias stability of functional equations ⋮ The Hyers-Ulam-Rassias stability of the pexiderized equations ⋮ On Homomorphisms between C*-Algebras and Linear Derivations on C*-Algebras ⋮ A generalization of the Hyers-Ulam-Rassias stability of the Pexider equation ⋮ Recent developments of the conditional stability of the homomorphism equation ⋮ On the stability of the functional equation \(f(x+y+xy)=f(x)+f(y)+xf(y)+yf(x)\)

Cites Work

• Unnamed Item
• On approximate solutions of the Pexider equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Hyers-Ulam stability of \(\psi\)-additive mappings
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms

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