[PDF] Top 20 On the Stability of Generalized Additive Functional Inequalities in Banach Spaces
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On the Stability of Generalized Additive Functional Inequalities in Banach Spaces
... Hyers-Ulam-Rassias stability of the functional inequality ...Jensen additive mappings and prove their stability, and Cho and Kim 23 proved the Hyers- Ulam-Rassias stability of the ... See full document
13
Stability of generalized QCA-functional equation in P-Banach spaces
... For ` = −1, we can prove the theorem by a similar technique. Corollary 2.9. Let , r, s be non-negative real numbers such that r, s > 3 or 1 < r, s < 3 or r, s < 1. Suppose that an odd function f : X → Y ... See full document
16
Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces
... the functional equation ...of functional equation 1.7 when f is a function between vector spaces, and then we prove the generalized Hyers-Ulam stability of ... See full document
19
Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... of stability for functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ...for Banach spaces. Let f : E → E be a mapping ... See full document
9
Comment on "on the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach" [Bodaghi et al , j inequal appl 2011, article id 957541 (2011)]
... concerning stability of group homo- morphisms: Under what condition does there exist an additive mapping near an approximately additive mapping? Hyers [2] answered the problem of Ulam for ... See full document
7
Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method
... the stability problem of functional equations which was first raised by ...are Banach spaces. A generalized version of the theorem of Hyers for approximately linear mappings was given ... See full document
24
Approximate mixed additive and quadratic functional in 2-Banach spaces
... the stability of the Cauchy functional ...the generalized Hyers-Ulam stability ...the generalized Hyers- Ulam stability of the equation ... See full document
7
Approximate Cauchy functional inequality in quasi Banach spaces
... the additive mapping h, was called a direct ...the stability of various functional ...for additive mappings by considering an unbounded Cauchy ...two Banach spaces and f : E 1 ... See full document
11
Intuitionistic Fuzzy Stability of a Quadratic Functional Equation
... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group ...for Banach spaces. Hyers’s theorem was generalized by Aoki ... See full document
7
Approximate Behavior of Bi Quadratic Mappings in Quasinormed Spaces
... Hyers 2 proved the stability problem of additive mappings in Banach spaces. Rassias 3 provided a generalization of Hyers theorem which allows the Cauchy difference to be unbounded: let f : E → ... See full document
8
Nearly n homomorphisms and n derivations in fuzzy ternary Banach algebras
... the stability of a functional equation, we follow the question raised in by Ulam: When is it true that the solution of an equation differing slightly from a given one, must of necessity be close to the ... See full document
11
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 functional equation on ... See full document
39
Nonlinear Random Stability of an ACQ Functional Equation
... for Banach spaces. Hyers’ theorem was generalized by Aoki 5 for additive mappings and by ...call generalized Hyers-Ulam stability or as Hyers-Ulam-Rassias stability of ... See full document
23
Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... quartic functional equations and its Hyers-Ulam-Rassias stability were discussed by various authors ([3], [7], [12], [21], [24], [27], [29], [32], [34], ...of functional equations that is having ... See full document
17
Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach
... the stability of group homomorphisms gave rise to the stability problem of functional ...was generalized by T. Aoki [2] for additive mappings and by ... See full document
10
Investigation of the Stability via Shadowing Property
... was generalized in various directions. The very first author who generalized Hyers’ theorem to the case of unbounded control functions was ...difference generalized Hyers’s Theorem for the ... See full document
12
Inequalities in Additive isometries on Linear normed Banach Spaces
... as generalized Hyers–Ulam stability of functional ...the stability of the equation of homomorphism, was studied by a number of mathematicians (see [10–12, 16, 21, 22, ... See full document
12
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... the stability of functional ...for Banach spaces. In 1978, Hyers theorem was generalized by ...This stability results is known as generalized Hyers-Ulam stability ... See full document
19
Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
... The stability problem of functional equations originated from a question of Ulam [1] concerning the stability of group ...for Banach spaces. Hyers ’ theorem was generalized by ... See full document
22
Additive functional inequalities in Banach spaces
... of stability for a functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ...for Banach spaces. Let f : E → E be a ... See full document
10
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