Orthogonal stability of mixed type additive-cubic functional equations in multi-Banach spaces

DOI10.1515/dema-2018-0012zbMath1390.39103OpenAlexW2806449573MaRDI QIDQ1639657

Aruldass Antony Raj, Ramdoss Murali, Sandra Pinelas

Publication date: 13 June 2018

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2018-0012

zbMATH Keywords

Hyers-Ulam stabilityfixed point methodmulti-Banach spaceorthogonally additive-cubic functional equation

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quartic functional equations
• Stability of an additive-cubic-quartic functional equation in multi-Banach spaces
• Stability of a mixed type functional equation on multi-Banach spaces: a fixed point approach
• On orthogonally additive mappings
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• Recent developments of the conditional stability of the homomorphism equation
• Ulam stability of operators
• On the stability of the linear transformation in Banach spaces
• APPROXIMATE EULER-LAGRANGE-JENSEN TYPE ADDITIVE MAPPING IN MULTI-BANACH SPACES: A FIXED POINT APPROACH
• Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach
• On the Stability of the Linear Mapping in Banach Spaces
• STABILITY OF MAPPINGS ON MULTI-NORMED SPACES
• Stability of functional equations in several variables
• On the stability of the additive Cauchy functional equation in random normed spaces