scientific article; zbMATH DE number 7115489

zbMath1438.39052MaRDI QIDQ5236708

Khaled Yahya Naif Sayar, A. Bergam

Publication date: 10 October 2019

Full work available at URL: http://math-frac.org/Journals/EJMAA/Vol7(3)_Aug_2019/Vol7(3)_Papers/Volume7(3)_Paper7_Abstract.html

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zbMATH Keywords

stabilityfunctional equationhyperstability2-Banach space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

• On new stability results for generalized Cauchy functional equations on groups by using Brzdȩk's fixed point theorem
• A fixed point approach to the Hyers-Ulam stability of a functional equation in various normed spaces
• Stability of additivity and fixed point methods
• Hyperstability of the Cauchy equation on restricted domains
• Approximate additive mappings in 2-Banach spaces and related topics
• A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
• On a modified Hyers-Ulam sequence
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On a fixed point theorem in 2-Banach spaces and some of its applications
• On the stability of the linear transformation in Banach spaces
• On the Stability of the Linear Mapping in Banach Spaces
• Extended Hyers–Ulam stability for Cauchy–Jensen mappings†
• On the Stability of the Linear Functional Equation
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