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[PDF] Top 20 Hyers Ulam stability of a generalized additive set valued functional equation

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Hyers Ulam stability of a generalized additive set valued functional equation

Hyers Ulam stability of a generalized additive set valued functional equation

... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group ...homomorphisms. Hyers [] gave the first affirmative partial ... See full document

6

The fixed point alternative and Hyers Ulam stability of generalized additive set valued functional equations

The fixed point alternative and Hyers Ulam stability of generalized additive set valued functional equations

... Set-valued functional equations have been studied by a number of authors and there are many interesting results concerning this problem (see ...define generalized additive ... See full document

11

A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution

A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution

... of functional equations is as ...a functional equation must be close to an exact solution of the equation?” The first stability problem concerning group homomorphisms was raised by ... See full document

18

Functional equation originating from sum of higher powers of arithmetic progression using difference operator is stable in Banach space

Functional equation originating from sum of higher powers of arithmetic progression using difference operator is stable in Banach space

... the functional equation ...the generalized Ulam - Hyers stability of the additive functional equation ...the additive functional ... See full document

12

General Solution and Two Methods of Generalized Ulam - Hyers Stability of $n-$ Dimensional AQCQ  Functional Equation

General Solution and Two Methods of Generalized Ulam - Hyers Stability of $n-$ Dimensional AQCQ Functional Equation

... We claim that the additive functional equation (1.3) is not stable for r = 1 in condition ( ii ) of Corollary 3.1. Suppose on the contrary that there exist a additive mapping A : R → R and a ... See full document

39

Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation

Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation

... the generalized Hyers- Ulam stability of the functional equation ...the generalized Hyers-Ulam stability of the functional equation ... See full document

22

On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi Banach Spaces

On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi Banach Spaces

... The generalized Hyers-Ulam stability problem for the quadratic functional equation ...the generalized Hyers-Ulam stability of the functional ... See full document

26

Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative

Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative

... the generalized Hyers-Ulam stability for the Cauchy additive functional inequality and for the Cauchy-Jensen additive functional inequality in the fuzzy normed ... See full document

17

Functional equations and inequalities in matrix paranormed spaces

Functional equations and inequalities in matrix paranormed spaces

... the Hyers-Ulam stability of Cauchy additive functional inequality ...the Hyers-Ulam stability of the Cauchy additive functional equation in ... See full document

13

stability of the quadratic functional
equation

stability of the quadratic functional equation

... the Hyers-Ulam-Rassias stability of the func- tional ...The Hyers-Ulam stability on unbounded domains is also ...the generalized quadratic functional ... See full document

10

On the Stability of a New Pexider Type Functional Equation

On the Stability of a New Pexider Type Functional Equation

... so-called generalized Hyers-Ulam-Rassias stability see also 4, ...the Hyers-Ulam-Rassias stability of the Pexider equation of fx y gx ...Quadratic functional ... See full document

22

Functional equations and inequalities in paranormed spaces

Functional equations and inequalities in paranormed spaces

... the Hyers-Ulam stability of the Cauchy additive functional equa- tion, the quadratic functional equation ...cubic functional equation (.) and the quartic ... See full document

23

Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces

Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces

... of functional equations is the following: ‘When is it true that a function which approximately satisfies a functional equation must be close to an ex- act solution of the equation?’ If the ... See full document

18

On stability of functional equations related to quadratic mappings in fuzzy Banach spaces

On stability of functional equations related to quadratic mappings in fuzzy Banach spaces

... The stability problem concerning the stability of group homomorphisms of functional equations was originally introduced by Ulam [] in ...famous Ulam stability prob- lem was ... See full document

12

Nearly n homomorphisms and n derivations in fuzzy ternary Banach algebras

Nearly n homomorphisms and n derivations in fuzzy ternary Banach algebras

... the Hyers-Ulam type stability of functional ...equations. Hyers’ theorem was generalized by Rassias [] for linear mappings by considering an unbounded Cauchy dif- ... See full document

11

On the Ulam Hyers stability of a quadratic functional equation

On the Ulam Hyers stability of a quadratic functional equation

... Theorem 4.1 (The alternative fixed point [17,18]) Suppose that we are given a com- plete generalized metric space (Ω, d) and a strictly contractive mapping T : Ω ® Ω with Lipschitz constant L. Then (for each given ... See full document

9

Isomorphisms in unital $C^*$-algebras

Isomorphisms in unital $C^*$-algebras

... called Hyers-Ulam-Rassias stability or generalized Hyers-Ulam stability of functional ...the stability of the equation of homomorphism, ... See full document

10

On the Stability of Generalized Additive Functional Inequalities in Banach Spaces

On the Stability of Generalized Additive Functional Inequalities in Banach Spaces

... 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

13

Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods

Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods

... S.M. Ulam [47] introduced the stability of functional ...H. Hyers [16] gave first confirmatory answer to the Ulam question for Banach ...1978, Hyers theorem was ... See full document

19

Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations

Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations

... on Functional Equations asked the question whether such a theorem can also be proved for p ...the Hyers-Ulam stability concept. This new concept of stability is known as general- ized ... See full document

13

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