On the generalized orthogonal stability of mixed type additive-cubic functional equations in modular spaces

DOI10.1515/tmj-2016-0011zbMath1338.39036OpenAlexW2415589859MaRDI QIDQ298995

Iz-iddine EL-Fassi, Samir Kabbaj

Publication date: 22 June 2016

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2016-0011

zbMATH Keywords

Hyers-Ulam-Rassias stabilityorthogonalitymodular spaceorthogonally additive-cubic equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functional equations for functions with more general domains and/or ranges (39B52) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (1)

Functional equation and its modular stability with and without Δp-condition

Cites Work

• Modular interpolation spaces. I
• On orthogonally additive mappings
• Orthogonally additive and orthogonally increasing functions on vector spaces
• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• A fixed point approach to stability of functional equations in modular spaces
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• On the stability of the quadratic functional equation in topological spaces
• On the stability of the linear transformation in Banach spaces
• On the Stability of the Linear Mapping in Banach Spaces
• Remarks on the stability of functional equations
• On the stability of the quadratic mapping in normed spaces
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