Some varieties of groupoids which consist of abelian group or group isotopes.
Special solutions of a functional equation
Special solutions of a functional equation
Stabilities of cubic mappings in fuzzy normed spaces.
Stability and superstability of ring homomorphisms on non-archimedean Banach algebras.
Stability aspects of arithmetic functions
Stability aspects of arithmetic functions, II
Stability of a 2-dimensional functional equation in a class of vector variable functions.
Stability of a bi-Jensen functional equation. II.
Stability of a Cauchy-Jensen functional equation in quasi-Banach spaces.
Stability of a functional equation coming from the characterization of the absolute value of additive functions.
Stability of a functional equation deriving from cubic and quartic functions.
Stability of a functional equation related to distance measure. II.
Stability of a generalization of the Fréchet functional equation
We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.
Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in -algebras.
Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in -algebras.
Stability of a generalized mixed type additive, quadratic, cubic and quartic functional equation.
Stability of a Jensen type functional equation.
Stability of a Jensen type logarithmic functional equation on restricted domains and its asymptotic behaviors.
Stability of a mixed type functional equation on multi-Banach spaces: a fixed point approach.