[PDF] Top 20 On the stability of an AQCQ functional equation in random normed spaces
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On the stability of an AQCQ functional equation in random normed spaces
... the functional equation (1.2), which is called a cubic functional equation and every solution of the cubic functional equation is said to be a cubic ... See full document
12
Stability of functional inequalities in matrix random normed spaces
... Hyers-Ulam stability of the Cauchy-Jensen additive functional inequality In this section, we prove the Hyers-Ulam stability of Cauchy-Jensen additive functional inequality ...matrix ... See full document
12
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... on stability of equation g ax a s gx a, s ∈ N, a ≥ 2 in random normed spaces and derive from it results on stability of equation f4x 10f2x − ...Ulam-Hyers stability ... See full document
16
On the Stability of Functional Equations in Random Normed Spaces
... Fuzzy stability of equation (1.3) and (1.4). The notion of a Random Normed space in which the values of the norms are probability distribution functions rather than numbers was given by ... See full document
10
Stability of an AQCQ functional equation in paranormed spaces
... the stability of the linear functional ...the stability of the linear transformation in Banach ...the stability of the linear mapping in Banach ...Hyers-Ulam-Rassias stability of ... See full document
20
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
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 ... See full document
23
Random Stability of an Additive Quadratic Quartic 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 ... See full document
18
Approximately generalized additive functions in several variables via fixed point method
... 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 ... See full document
15
An AQCQ functional equation in paranormed spaces
... The stability problem of functional equations originated from a question of Ulam [10] concerning the stability of group homomorphisms. Hyers [11] gave a first affirma- tive partial answer to the ... See full document
9
Generalized Ulam Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
... mentioned stability involving a product of powers of norms is called Ulam- Gavruta-Rassias stability by various authors see ...type functional equations and their Ulam-Hyers stability are ... See full document
14
An AQCQ functional equation in matrix Banach spaces
... functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document
15
Nonlinear Fuzzy stability of cubic functional equations
... cubic functional equations, since the function f(x) = cx 3 is their solu- ...cubic functional equations is said to be a cubic mapping. The stability problem for the cubic functional equations ... See full document
19
On the Stability of Affine Functional Equations in Various Spaces
... Hyers-Ulam-Rassias stability of the affine functional equation ...Hyers-Ulam-Rassias stability of the affine functional equation (1.1) in random normed ... See full document
7
The Hyers Ulam Rassias stability of the quartic functional equation in fuzzy β normed spaces
... Corollary . Let θ ≥ , p be a real positive number with > p > , (X, ⊥) be a real or- thogonality vector space with norm · with < β ≤ and ( R , N ) be a complete fuzzy β - normed space. If f : X → ... See full document
14
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
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... Fuzzy Normed Spaces, International Mathematical Forum, 4, 2009, ...the stability of the linear functional equation, ...Rassias, Stability of functional equations in ... See full document
19
Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces
... of stability problems for functional equations is related to a question of Ulam [30] concerning the stability of group homomorphisms and affirmatively answered for Banach spaces by Hyers ... See full document
12
Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation
... The stability problem of functional equations was originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability of functional ... See full document
11
Approximate Euler Lagrange quadratic mappings
... the functional equation (3) to a more general form f (kx + y) + f (kx − y) = kf (x + y) + kf (x − y) + 2k(k − 1)f (x) − 2(k − 1)f (y) (4) and investigate the Hyers-Ulam stability of the ... See full document
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