On the Stability of Drygas Functional Equation on Amenable Semigroups

DOI10.1007/978-1-4939-1286-5_7zbMath1311.39043OpenAlexW191260168MaRDI QIDQ5249872

Elhoucien Elqorachi, Youssef Manar, Themistocles M. Rassias

Publication date: 12 May 2015

Published in: Handbook of Functional Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1286-5_7

zbMATH Keywords

semigroupsabelian groupsHyers-Ulam stabilityinvariant meansDrygas functional equationamenable semigroups

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (2)

On the stability of a generalized additive functional equation ⋮ Ultrametric approximations of a Drygas functional equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A fixed point approach to the stability of Pexider quadratic functional equation with involution
• Variations on the Drygas equation and its stability
• The Jensen functional equation in non-Archimedean normed spaces
• The stability of homomorphisms and amenability, with applications to functional equations
• On approximation of approximately linear mappings by linear mappings
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Functional equations on abelian groups with involution. II
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations and a problem of Ulam
• The stability of Jensen's equation on amenable locally compact groups
• On the stability of the linear mapping in Banach modules
• Stability of a functional equation of Drygas
• Remarks on the stability of Drygas' equation and the Pexider-quadratic equation
• Hyers-Ulam stability of functional equations in several variables
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• On the stability of a quartic functional equation
• Stability of functional equations of drygas in the space of Schwartz distributions
• On the stability of the linear transformation in Banach spaces
• A Common Generalization of Functional Equations Characterizing Normed and Quasi-Inner-Product Spaces
• Stability of linear mappings in quasi-Banach modules
• Functional Equations and Inequalities with Applications
• Stability of functional equations in non-Archimedean spaces
• The Stability of Certain Functional Equations
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• Note on a Stability Theorem
• Stability of certain functional equations via a fixed point of Ciric
• On the Hyers-Ulam stability of approximately Pexider mappings
• Remarks on the stability of functional equations
• Approximate homomorphisms
• Stability of functional equations in several variables
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras
• On the stability of the quadratic mapping in normed spaces

This page was built for publication: On the Stability of Drygas Functional Equation on Amenable Semigroups