Some results on stability of a general functional equation in \(m\)-Banach spaces

DOI10.1007/s00025-024-02312-2MaRDI QIDQ6645893

Jafar Mohammadpour, Michael Th. Rassias, Abbas Najati

Publication date: 29 November 2024

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

functional equationHyers-Ulam stability\(m\)-Banach space

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Geometry and structure of normed linear spaces (46B20) Functional equations for functions with more general domains and/or ranges (39B52) Ordered normed spaces (46B40)

Cites Work

• Unnamed Item
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• Approximate additive mappings in 2-Banach spaces and related topics
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• A fixed point theorem in \(n\)-Banach spaces and Ulam stability
• Solution and stability of the multiquadratic functional equation
• Ulam stability of functional equations in 2-Banach spaces via the fixed point method
• Set-valued solutions of a two-variable functional equation with involutions
• On set-valued solutions of a generalized bi-quadratic functional equation
• Approximate multi-Jensen, multi-Euler-Lagrange additive and quadratic mappings in \(n\)-Banach spaces
• Characterizations on isometries in linear \(n\)-normed spaces
• Stability of a general functional equation in \(m\)-Banach spaces
• On perturbations of two general equations in several variables
• n-Inner Product Spaces
• Lineare 2‐normierte Räume

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