[PDF] Top 20 unidad 5 la tecnología de la información
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Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation
... The functional equation fx y f x − y 2fx 2f y is called a quadratic functional ...the quadratic functional equation is said to be a quadratic ...The ... See full document
151
Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach
... Katsaras [52] defined a fuzzy norm on a vector space to construct a fuzzy vector topological structure on the space. In particular, Bag and Samanta [53], following Cheng and Mordeson [54], gave an idea of fuzzy norm in ... See full document
14
A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... is called symmetric multi additive if Q is additive with respect to each variable x i , i = 1,2, 3, 4 in (1.6). A function f is defined as f (x) = β (x)−α(x) 12 , where α(x) = f (2x) − 16 f (x), β (x) = f (2x) − 4 f (x). ... See full document
26
Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
... the generalized Hyers-Ulam stability for the functional equation ...each fixed one variable and is additive for fixed two ... See full document
22
Random Stability of an Additive Quadratic Quartic Functional Equation
... the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f x 2y f x − 2y 2f x y 2f − x − y 2fx − y 2f ... See full document
11
Fixed Points and Stability of a Generalized Quadratic Functional Equation
... a quadratic functional equation. Quadratic functional equations were used to characterize inner product spaces ...the quadratic equation ...is quadratic if and only ... See full document
76
Fuzzy Stability of an Additive Quadratic Quartic Functional Equation
... The stability problem of functional equations originated from a question of Ulam 13 concerning the stability of group ...was generalized by Aoki 15 for additive mappings and by ...call ... See full document
126
Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... In fact they proved that a function f between real vector spaces X and Y is a solution of 1.4 if and only if there exists a unique symmetric multiadditive function Q : X × X × X × X → Y such that fx Qx, x, x, x for all x ... See full document
6
On stability of functional equations related to quadratic mappings in fuzzy Banach 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
23
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 ...was generalized by Aoki 3 for additive mappings and by ...call ... See full document
16
On the stability of set-valued functional equations with the fixed point alternative
... Let (X, d) be a generalized metric space. An operator T : X ® X satisfies a Lipschitz condition with Lipschitz constant L if there exists a constant L ≥ 0 such that d(Tx, Ty) ≤ Ld(x, y) for all x, y Î X. If the ... See full document
63
Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces
... Corollary 3.8. Let θ, r, s be nonnegative real numbers such that r, s > 4 or 2 < r, s < 4 or r, s < 2. Suppose that an even function f : X → Y with f 0 0 satisfies the inequality 3.28, for all x, y ∈ X. Then, ... See full document
56
Approximate homomorphisms and derivations on random Banach algebras
... During the last three decades, a number of papers and research monographs have been published on various generalizations and applications of the generalized Hyers-Ulam sta- bility to a number of functional ... See full document
126
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 Ulam ... See full document
68
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 ...A generalized version of the theorem of Hyers for approximately linear mappings was given by ...Ulam-Rassias ... See full document
11
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)]
... a quadratic left centralizer if L is a quadratic homogeneous mapping, that is quadratic and L(la) = l 2 L (a) for all a ∈ A and l Î ℂ and L(ab) = L(a)b 2 for all a, b ∈ A , and a mapping R : A → A is ... See full document
5
New Type of Quadratic Functional Equation and Its Stability
... the quadratic functional ...the quadratic functional equation is said to be quadratic ...of stability theory of functional equations for the proof of new ... See full document
16
On the stability of a mixed type quadratic additive functional equation
... the stability of the linear functional ...the stability of the linear mapping in Banach ...S: Functional Equations and Inequalities in Several ...Hyers-Ulam-Rassias stability of ... See full document
8
stability of the quadratic functional equation
... Theorem 3.5. Let E be a normed vector space, F a Banach space and f : E → F a mapping which satisfies the inequality (3.10) for some θ ≥ 0, p > 2 and for all x, y ∈ E. Then there exists a unique mapping q : E → F , ... See full document
15
A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution
... the fixed point method to the investigation of the Cauchy additive functional equation see 16, ...Hyers-Ulam stability of Cauchy and Jensen functional ... See full document
24
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