Iterative Pexider equation modulo a subset.
Iterierte arithmetische Mittelung und eine Verallgemeinerung der Jesenschen Ungleichung.
Modified logarithmic Sobolev inequalities in null curvature.
Multi-valued solutions of a functional equation
Nonlinear stability of a quadratic functional equation with complex involution
Let be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mapping satisfies for all , , then the mapping satisfies for all , . Furthermore, they proved the generalized Hyers-Ulam stability of the functional equation () in complex Banach spaces. In this paper, we will adopt the idea of Park and Th. M. Rassias to prove the stability of a quadratic functional equation with complex involution via fixed point method.
Non-trivial solutions to certain matrix equations.
On a functional inequality.
On a functional inequality arising in the construction of the product of several metric spaces.
On a modified Hyers-Ulam stability of homogeneous equation.
On a system of functional equations in a multi-dimensional domain.
On approximate cubic homomorphisms.
On associative copulas uniformly close.
On continuous convex or concave functions with respect to the logarithmic mean
On convex stochastic processes.
On convex triangle functions.
On functional inequalities in a single variable [Book]
On functions behaving like additive functions.
On functions with the Cauchy difference bounded by a functional. II.
On Functions with the Cauchy Difference Bounded by a Functional
K. Baron and Z. Kominek [2] have studied the functional inequality f(x+y) - f(x) - f(y) ≥ ϕ (x,y), x, y ∈ X, under the assumptions that X is a real linear space, ϕ is homogeneous with respect to the second variable and f satisfies certain regularity conditions. In particular, they have shown that ϕ is bilinear and symmetric and f has a representation of the form f(x) = ½ ϕ(x,x) + L(x) for x ∈ X, where L is a linear function. The purpose of the present...
On Hyers-Ulam stability for a class of functional equations.