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[PDF] Top 20 Nonlinear Random Stability of an ACQ Functional Equation

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Nonlinear  Random Stability of an ACQ Functional Equation

Nonlinear Random Stability of an ACQ Functional Equation

... of random normed spaces RN-spaces is important as a generalization of deterministic result of linear normed spaces and also in the study of random operator ...Hyers-Ulam stability of different ... See full document

23

Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type

Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type

... tic functional analysis has emerged as one of the indispensable mathematical disciplines and ...sciences. Random nonlinear analysis, which is an important branch of prob- abilistic functional ... See full document

24

Random \(C^{*}\) ternary algebras and application

Random \(C^{*}\) ternary algebras and application

... the stability of the linear functional ...the stability of the linear transformation in Banach ...the stability of the linear mapping in Banach ... See full document

9

On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth Order

On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth Order

... Later in 2011 Abou-El-Ela, Sadek and Mahmoud [30] obtained the sufficient conditions for the uniform stability of the zero solution of a nonlinear fifth-order delay differential equation[r] ... See full document

12

Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation

Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation

... of stability theory of functional equations for the proof of new fixed-point theorems with ...the stability problems of several functional equations have been extensively investigated by a ... See full document

11

Fixed point approach to the Hyers-Ulam-Rassias approximation‎ ‎of homomorphisms and derivations on Non-Archimedean random Lie $C^*$-algebras

Fixed point approach to the Hyers-Ulam-Rassias approximation‎ ‎of homomorphisms and derivations on Non-Archimedean random Lie $C^*$-algebras

... Hyers-Ulam stability of random homomorphisms in ran- dom C ∗ -algebras and random Lie C ∗ -algebras and of derivations on Non-Archimedean random C ∗ -algebras and Non-Archimedean ran- dom Lie ... See full document

12

On the stability of a cubic functional equation in random 2 normed spaces

On the stability of a cubic functional equation in random 2 normed spaces

... an random 2-normed space equipped with random 2-norm ℱ ...be random 2-continuous or simply ℱ -continuous at a point s ο Î ℝ if for all > 0 and all 0 < a < 1 there exists δ > 0 such ... See full document

10

Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces

Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces

... for all x ∈ E. Moreover if ftx is continuous in t ∈ R for each fixed x ∈ E, then T is linear. In 1978, Rassias 3 provided a generalization of Hyers’ Theorem which allows the Cauchy difference to be unbounded. In 1991, ... See full document

9

Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces

Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces

... Conversely, let fx Cx, x, x Qx, x for all x ∈ X, where the function C is symmetric for each fixed one variable and is additive for fixed two variables and Q is biadditive. By a simple computation, one can show that the ... See full document

16

Ulam-Hyers Stability of Quadratic Reciprocal Functional Equation in Intuitionistic Random Normed spaces: Various Methods

Ulam-Hyers Stability of Quadratic Reciprocal Functional Equation in Intuitionistic Random Normed spaces: Various Methods

... intuitionistic random stability of the quartic functional equation and ...Hyers-Ulam stability of the additive- quadratic functional equation in intuitionistic ... See full document

12

Nonlinear  Fuzzy stability of cubic functional equations

Nonlinear Fuzzy stability of cubic functional equations

... 47. Agarwal, RP, Cho, YJ, Saadati, R: On random topological structures. Abstr Appl Anal, Art ID (2011). 762361, 41 48. Krishna, SV, Sarma, KKM: Separation of fuzzy normed linear spaces. Fuzzy Sets Syst. 63, 207 – ... See full document

19

On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces

On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces

... of random normed spaces RN-spaces is important as a generalization of deterministic result of linear normed spaces and also in the study of random operator ...Hyers-Ulam stability of different ... See full document

16

Nonlinear approximation of an ACQ-functional equation in nan-spaces

Nonlinear approximation of an ACQ-functional equation in nan-spaces

... for all x, y Î X. In fact, if we choose L = |16| 1-r , then we get the desired result. □ 4. Non-Archimedean stability of Equation (1.1): a direct method-odd case Throughout this section, using direct ... See full document

22

Random Stability of an Additive Quadratic Quartic Functional Equation

Random Stability of an Additive Quadratic Quartic Functional Equation

... In the sequel we adopt the usual terminology, notations and conventions of the theory of random normed spaces, as in 37–41. Throughout this paper, Δ is the space of all probability distribution functions that is, ... See full document

18

Erratum to: A Note to Paper &quot;On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces&quot;

Erratum to: A Note to Paper "On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces"

... cubic functional equation is said to be a cubic mapping. The stability problem for the cubic functional equation was solved by Jun and Kim 2 and Lee 3 for mappings f : X → Y , where X ... See full document

6

On the stability of an AQCQ functional equation in random normed spaces

On the stability of an AQCQ functional equation in random normed spaces

... of stability for func- tional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ... See full document

12

Solution and  Stability of an ACQ Functional Equation in Generalized 2-Normed Spaces

Solution and Stability of an ACQ Functional Equation in Generalized 2-Normed Spaces

... (3.1.39) for all v ∈ U and all y U ∈ . The rest of the proof is similar to that of Theorem 3.1.1.The following corollary is an immediate consequence of Theorem 3.1.3 concerning the stability of (1.1). ... See full document

12

On the Stability of Quartic Functional Equations via Fixed Point and Direct Method

On the Stability of Quartic Functional Equations via Fixed Point and Direct Method

... Rassias stability of quartic functional equation f (3 x  y )  f x (  3 ) y  64 ( ) f x  64 ( ) f y  24 ( f x  y ) 6 (  f x  y ) in the setting of random normed space and ... See full document

6

Lattictic non archimedean random stability of ACQ functional equation

Lattictic non archimedean random stability of ACQ functional equation

... gramming, nonlinear dynamical systems, nonlinear operators, statistical convergence and ...The random topology proves to be a very useful tool to deal with such situations where the use of classical ... See full document

12

Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces

Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces

... of stability problems of functional equations, the stability phenomenon that was proved by Rassias may be called the Hyers-Ulam-Rassias stability see 5, ... See full document

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