[PDF] Top 20 A fixed point approach to the Hyers Ulam stability of an AQ functional equation on β Banach modules
Has 10000 "A fixed point approach to the Hyers Ulam stability of an AQ functional equation on β Banach modules" found on our website. Below are the top 20 most common "A fixed point approach to the Hyers Ulam stability of an AQ functional equation on β Banach modules".
A fixed point approach to the Hyers Ulam stability of an AQ functional equation on β Banach modules
... of Hyers [] and continuing with those of Rassias [], Găvruţa [], Czervick [] and so on, the authors used the ‘direct method’ to prove the stability prop- erties for functional ...the ... See full document
18
A fixed point approach to the stability of an AQ-functional equation on β-Banach modules
... Therefore, f satisfies (3.14). Now, we claim that the functional Equation (1.2) is not stable for r = 1 in Corollary 3.2. Suppose on the contrary that there exist an additive function A : ℂ ® ℂ and a ... See full document
14
A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces
... which implies that ρ(A − A ∗ ) = 0 or A = A ∗ , since ρ(A − A ∗ ) < ∞. Therefore A is unique. Theorem 2.2. Let ∈ {−1, 1} be fixed. Let E be a linear space and (X, µ) a µ-complete β- homogeneous ... See full document
13
Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach
... S.M. Ulam [45] concerning the stability of group homomorphisms gave rise to the stability problem of functional ...D.H. Hyers [23] did not go in vain because he was the first to come ... See full document
10
A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
... The functional equation f(x + y) + f(x - y) = 2f(x) + 2f(y) is called a quadratic func- tional ...quadratic functional equation is said to be a quadratic ...the Hyers-Ulam ... See full document
14
Fixed Points and Stability of the Cauchy Functional Equation in -Algebras
... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group ...homomorphisms. Hyers 2 gave a first affirmative partial answer to ... See full document
14
Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras
... generalized Hyers-Ulam stability of the functional equation ...in Banach modules over a C ∗ ...generalized Hyers-Ulam stability of the ... See full document
10
Stability of Functional Equations in Multi Banach Spaces via Fixed Point Approach
... In the last section, we prove the stability problem in the sense of Hyers-Ulam-Rassias for the functional equations 1.1 and 1.2 on Multi-Banach spaces by using fixed point approach.. We [r] ... See full document
6
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 ... See full document
15
Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach
... of functional equations is the following: “When is it true that a function, which approximately satisfies a functional equation E must be close to an exact solution of E ?” If the problem accepts a ... See full document
13
Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach
... The fixed point alternative methods are implemented to give generalized Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy ...the ... See full document
10
Functional equation originating from sum of higher powers of arithmetic progression using difference operator is stable in Banach space
... the functional equation ...generalized Ulam - Hyers stability of the additive functional equation ...and fixed point methods are respectively ...additive ... See full document
12
Orthogonal stability of an additive quartic functional equation with the fixed point alternative
... The stability problem of functional equations originated from the following question of Ulam [12]: Under what condition does there exist an additive mapping near an approximately additive mapping? In ... See full document
10
Ulam - Hyers stability of a 2- variable AC - mixed type functional equation in quasi - beta normed spaces: direct and fixed point methods
... Dhombres, Functional Equations in Several Variables, Cambridge University Press, ...the stability of the linear transformation in Banach spaces, ...Zhang, Ulam - Hyers stability ... See full document
21
Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach
... the Hyers-Ulam-Rassias stability of C ∗ -algebra homomorphisms and of generalized derivations on C ∗ -algebras for the following Cauchy-Jensen functional equation 2fx y/2 z fx fy 2fz, ... See full document
11
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 ...an equation differing slightly from a given one, must of necessity be close to the solution of the given equation? Similarly, if we ... See full document
8
Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach
... the fixed-point method in the study of Hyers-Ulam stability see also 22 ...the fixed-point method to the investigation of the Jensen functional equation see ... See full document
9
Fixed Points, Inner Product Spaces, and Functional Equations
... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group ...homomorphisms. Hyers 2 gave a first affirmative partial answer to ... See full document
14
Solution and Generalized Ulam-Hyers Stability of a n-Dimensional Additive Functional Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods
... Rassias approach. The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results concerning this problem (see ... See full document
16
A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces
... Therefore, g satisfies (77). Now, we claim that the functional equation (12) is not stable for r = 1 in Corollaries 2.8 and 2.11. Suppose, on the contrary, that there exist a additive mapping A : C → C and ... See full document
30
Related subjects