On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces
From MaRDI portal
Publication:3583746
DOI10.1063/1.3269920zbMath1241.39010OpenAlexW2003277988MaRDI QIDQ3583746
Ali Ghaffari, Ahmad Alinejad, Madjid Eshaghi-Gordji
Publication date: 17 August 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3269920
Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32) Functional analysis in probabilistic metric linear spaces (46S50)
Related Items (4)
A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS ⋮ Stabilities of cubic mappings in fuzzy normed spaces ⋮ Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces ⋮ On random topological structures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quartic functional equations
- Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
- Linear operators in finite dimensional probabilistic normed spaces
- On the stability of cubic mappings and quadratic mappings in random normed spaces
- A note to paper ``On the stability of cubic mappings and quartic mappings in random normed spaces
- Stability of mixed type cubic and quartic functional equations in random normed spaces
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the stability of functional equations and a problem of Ulam
- On the stability of functional equations in Banach spaces
- On the Hyers-Ulam stability of \(\psi\)-additive mappings
- On the stability of the functional equation \(f(x+y+xy)=f(x)+f(y)+xf(y)+yf(x)\)
- On the stability of a quartic functional equation
- Stability of cubic functional equation in the spaces of generalized functions
- On a bi-quadratic functional equation and its stability
- On the stability of the linear transformation in Banach spaces
- On the Stability of the Linear Mapping in Banach Spaces
- ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION
- Classes of transformations and bordering transformations
- On the Stability of the Linear Functional Equation
- On the stability of the additive Cauchy functional equation in random normed spaces
This page was built for publication: On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces
