[PDF] Top 20 Generalized orthogonal stability of some functional equations
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Generalized orthogonal stability of some functional equations
... As mentioned before, we will consider functional equations defined only for orthog- onal vectors and we will start with the Cauchy functional equation. A mapping f from an inner product space (X, ( · ... See full document
23
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
... The “unknowns” are functions f : G → Y between two vector spaces while p, h are given functions, p −1 is the inverse of p, and k / 0 is a fixed constant. The solution of 3.1 and a generalized stability ... See full document
15
On the generalized Hyers Ulam Rassias stability problem of radical functional equations
... the stability of the linear functional ...the stability of the linear transformation in Banach ...(ed.): Functional Equations, Inequalities and ...the stability of ... See full document
13
Approximation of linear mappings in Banach modules over C∗ algebras
... a functional equation (ζ ) is stable if any function g satisfying the equation (ζ ) approximately is near to the true solution of (ζ ...a functional equation is su- perstable if every approximate solution ... See full document
15
A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations
... Volterra functional di ff erential equations and discretized versions,” in Volterra Equations and Applications (Arlington, TX, 1996), ...of Stability and Control: Theory and Applications, ... See full document
16
Isomorphisms in unital $C^*$-algebras
... Hyers-Ulam-Rassias stability or generalized Hyers-Ulam stability of functional ...the stability of the equation of homomorphism, ... See full document
10
A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation
... was generalized by Aoki 15 for additive mappings and by ...call generalized Hyers-Ulam stability or as Hyers-Ulam-Rassias stability of functional ... See full document
24
On the Stability of Generalized Quartic Mappings in Quasi Normed Spaces
... the stability problems of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to the solution of the given ... See full document
11
Orthogonal Stability of an Additive-Quadratic Functional Equation
... the stability of the quadratic equation was Skof [22] by proving that if f is a mapping from a normed space X into a Banach space Y satisfying ||f(x + y) + f(x - y) - 2f(x) - 2f(y)|| ≤ ε for some ε > 0, ... See full document
11
A general uniqueness theorem concerning the stability of monomial functional equations in fuzzy spaces
... Hyers-Ulam stability of a large class of functional equations, which includes monomial functional equations ...additive functional equation, the quadratic functional ... See full document
11
AQ-Functional Equation in Paranormed Spaces
... investigated Generalized Hyers-Ulam stability for general additive functional equations in quasi- β-normed spaces , ...the stability properties of a mixed type additive, quadratic and ... See full document
11
On the Stability of Generalized Additive Functional Inequalities in Banach Spaces
... Rassias stability of functional equations ...Hyers-Ulam-Rassias stability to a number of functional equations and mappings see ... See full document
13
Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations
... G˘avrut¸a [10] provided a further generalization of Rassias’ theorem. During the last two decades, a number of papers and research monographs have been published on vari- ous generalizations and applications of the ... See full document
13
Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods
... general functional equations one can ask the following question ...given functional inequality, when can assert that the solutions of the inequality lie near to the solutions of the strict equation? ... See full document
8
Weighted exponential stability for generalized delay functional differential equations with bounded delays
... Remark If the weight function ψ is one-to-one, then we could consider the substitution y(t) = ψ (t)x(t), where x(t) is a solution of (), and study the exponential stability of y(t) which is equivalent to the ... See full document
13
A general theorem on the stability of a class of functional equations including monomial equations
... We combine Lemmas . and . in the following theorem to formulate the main theo- rem which is easily applicable. We here notice that conditions () and () are satisfied in usual cases provided we apply the direct ... See full document
12
ORTHOGONAL STABILITY OF THE NEW GENERALIZED QUADRATIC FUNCTIONAL EQUATION
... Sikorska, Stability of the orthogonal additivity, ...the stability of the linear functional equation, ...Quadratic functional equation inner product spaces, Results ...the ... See full document
9
On the stability of generalized d'Alembert and Jensen functional equations
... The aim of this paper is to study the stability problem of the generalized d’Alembert, Wilson, and Jensen functional equations.. Copyright © 2006 Hindawi Publishing Corporation.[r] ... See full document
12
Stability of quadratic functional equations in generalized functions
... holds for convolution. The semigroup property will be very useful for converting equation (.) into the classical functional equation defined on an upper-half plane. We also use the following famous result, the ... See full document
15
Orthogonal stability of functional equations with the fixed point alternative
... The stability problem of functional equations originated from the following question of Ulam []: Under what condition is there an additive mapping near an approximately additive mapping? In , ... See full document
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