[PDF] Top 20 The fixed point alternative and Hyers Ulam stability of generalized additive set valued functional equations
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The fixed point alternative and Hyers Ulam stability of generalized additive set valued functional equations
... fixed point theory for the proof of stability theory of functional ...the stability problems of several functional equations by using the fixed point methods have been ... See full document
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On the stability of set-valued functional equations with the fixed point alternative
... tic functional equation is said to be a quadratic mapping. The Hyers-Ulam stability of the quadratic functional equation was proved by Skof [24] for mappings f : X ® Y, where X is a ... See full document
17
A new method for the generalized Hyers-Ulam-Rassias stability
... Banach fixed point theorem to give Hyers-Ulam stability results for a nonlinear functional ...the fixed point alternative theorem for ... See full document
8
Orthogonal stability of an additive quartic functional equation with the fixed point alternative
... call generalized Hyers-Ulam stability or Hyers- Ulam stability of functional ...several stability problems of functional equations have been ... See full document
10
Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative
... quadratic functional equation is said to be a quadratic function. A generalized Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof 17 for ... See full document
17
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 ... See full document
14
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 ... See full document
10
Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach
... 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 ... See full document
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Functional equation originating from sum of higher powers of arithmetic progression using difference operator is stable in Banach space
... the functional equation (1.8) is given. In Section 4 and 5, the generalized Ulam - Hyers stability of the additive functional equation ...and fixed point ... See full document
12
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... On Generalized Fuzzy Normed Spaces, International Mathematical Forum, 4, 2009, ...D.H. Hyers, On the stability of the linear functional equation, ...D.H. Hyers, G. Isac, Th.M. Rassias, ... See full document
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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
Hyers Ulam stability of a generalized additive set valued functional equation
... 10. Ulam, SM: Problems in Modern Mathematics, chapter VI, Science ...11. Hyers, DH: On the stability of the linear functional ...the stability of the linear transformation in Banach ... See full document
6
Fixed Points, Inner Product Spaces, and Functional Equations
... quadratic functional equation. A generalized Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof 6 for mappings f : X → Y , where X is a normed ... See full document
14
Isomorphisms in unital $C^*$-algebras
... The rest of the proof is the same as in the proof of Theorem 2.1. From now on, assume that A is a unital C ∗ -algebra of real rank zero, where “real rank zero” means that the set of invertible self-adjoint ... See full document
10
Approximately cubic functional equations and cubic multipliers
... by fixed point methods. Also, the stability and the superstability of cubic double centralizers of Banach algebras which are strongly without order had been established in Eshaghi Gordji et ... See full document
8
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 ... See full document
11
Fuzzy Hyers Ulam stability of an additive functional equation
... of functional equations is the following: When is it true that a function which approximately satisfies a functional equation must be close to an exact solution of the equation? If the problem ... 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
Multi \(C^{*}\) ternary algebras and applications
... 16. Hyers, DH: On the stability of the linear functional ...the stability of the linear mapping in Banach ...the stability of the linear transformation in Banach ...the ... See full document
21
General Solution and Two Methods of Generalized Ulam - Hyers Stability of $n-$ Dimensional AQCQ Functional Equation
... of stability problems for functional equations is tied to a question of Ulam [61] regarding the sta- bility of group homomorphisms and certainly answered for a additive ... See full document
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