Solution and stability of a mixed type functional equation

DOI10.2298/FIL1705229NzbMath1488.39072arXiv1506.06376OpenAlexW1908729741MaRDI QIDQ5011913

Pasupathi Narasimman, Abasalt Bodaghi

Publication date: 30 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06376

zbMATH Keywords

generalized Hyers-Ulam stabilityadditive functional equationcubic functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82)

Related Items

Non-Archimedean stability of a generalized reciprocal-quadratic functional equation in several variables by direct and fixed point methods ⋮ A characterization of multi-mixed additive-quadratic mappings and a fixed point application ⋮ A fixed point approach to the stability of additive-quadratic-quartic functional equations ⋮ Unnamed Item ⋮ Various stabilities of reciprocal-septic and reciprocal-octic functional equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The generalized cubic functional equation and the stability of cubic Jordan \(\ast\)-derivations
• Cubic derivations on Banach algebras
• Solution of a problem of Ulam
• On approximation of approximately linear mappings by linear mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• Hypers-Ulam-Rassias stability of a quadratic and additive functional equation in quasi-Banach spaces
• On the stability of the linear transformation in Banach spaces
• On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality
• Stability of a mixed type additive and quartic functional equation
• On the Stability of the Linear Mapping in Banach Spaces
• ON THE HYERS-ULAM STABILITY OF A GENERALIZED QUADRATIC AND ADDITIVE FUNCTIONAL EQUATION
• On the Hyers-Ulam-Rassias stability of a general cubic functional equation
• Ulam's type stability of a functional equation deriving from quadratic and additive functions
• On the stability of the quadratic mapping in normed spaces