The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces.
The generalized Hyers-Ulam-Rassias stability of a quadratic functional equation.
The Hyers-Ulam stability for two functional equations in a single variable.
The Hyers-Ulam-Aoki Type Stability of Some Functional Equations on Banach Lattices
In Agbeko (2012) the Hyers-Ulam-Aoki stability problem was posed in Banach lattice environments with the addition in the Cauchy functional equation replaced by supremum. In the present note we restate the problem so that it relates not only to supremum but also to infimum and their various combinations. We then propose some sufficient conditions which guarantee its solution.
The Second Half-With a Quarter of a Century Delay
We show how results by Diekmann et al. (2007) on the qualitative behaviour of solutions of delay equations apply directly to a resource-consumer model with age-structured consumer population.
The stability of a quadratic functional equation with the fixed point alternative.
The stability of some linear functional equations.
The stability of the equation on groups.
The superstability of the generalized d'Alembert functional equation.
The Ulam stability problem in approximation of approximately quadratic mappings by quadratic mappings.
Translation equation on monoids
We give large classes of solutions of the translation equation on a monoid satisfying the identity condition.
ρ-Orthogonality and its preservation - revisited
The aim of the paper is to present results concerning the ρ-orthogonality and its preservation (both accurate and approximate) by linear operators. We survey on the results presented in [11] and [23], as well as give some new and more general ones.