[PDF] Top 20 Solution and Stability of an ACQ Functional Equation in Generalized 2-Normed Spaces
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Solution and Stability of an ACQ Functional Equation in Generalized 2-Normed Spaces
... (3.1.30) 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 3.1.2 concerning the stability of (1.1). ... See full document
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Nonlinear approximation of an ACQ-functional equation in nan-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 exact solution of the equation? ” If ... See full document
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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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Random Stability of an Additive Quadratic Quartic Functional Equation
... 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 y − x − 4f−x − 2fx f2y f−2y − 4fy − 4f−y in ... See full document
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Quadratic Quartic Functional Equations in RN Spaces
... Hyers-Ulam-Rassias stability problem for the quadratic functional equation ...a normed space and B is a Banach space see ...Hyers-Ulam-Rassias stability of the functional ... See full document
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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 ...Banach spaces. Let f : E ® E’ be a mapping ... See full document
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The Hyers Ulam Rassias stability of the quartic functional equation in fuzzy β normed spaces
... fuzzy normed spaces to fuzzy β -normed spaces and adopt the fixed point and direct methods to prove the Hyers-Ulam-Rassias stability of the quartic functional equation f ... See full document
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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 2 gave a first affirmative partial answer to the question of ... See full document
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A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... cubic functional equation, because the cubic function f (x) = cx 3 is a solution of the equation ...general solution and the generalized Hyers-Ulam-Rassias stability for ... See full document
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On the Stability of Affine Functional Equations in Various Spaces
... Section 2 we establish the Hyers-Ulam-Rassias stability of the affine functional equation ...in 2-Banach ...Hyers-Ulam-Rassias stability of the affine functional ... See full document
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Nonlinear Random Stability of an ACQ Functional Equation
... 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 functional ... See full document
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A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
... The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group ...Hyers 2 gave a first affirmative partial answer to the question of Ulam ... See full document
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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 , ... See full document
6
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... unique solution, we say the equation is stable see 1. The first stability problem concerning group homomorphisms was raised by Ulam 2 in 1940 and affirmatively solved by Hyers ...was ... See full document
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Non-Archimedean stability of Cauchy-Jensen Type functional equation
... quadratic functional equation. In particular, every solution of the qua- dratic functional equation is said to be a quadratic ...a generalized Hyers-Ulam stability problem ... See full document
11
On the stability of a cubic functional equation in random 2 normed spaces
... some stability results for the functional equation of cubic in random 2-normed spaces which seems to be a quite new and interesting ...random 2-normed spaces ... See full document
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General Solution and Generalized Ulam - Hyers Stability of A Additive Functional Equation Originating From $N$ Observations of An Arithmetic Mean In Banach Spaces Using Various Substitutions In Tw
... Ulam stability problem: When is it true that by slightly changing the hypotheses of a theorem one can still assert that the thesis of the theorem remains true or approximately true? In [19], Hyers gave the first ... See full document
15
Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces
... the functional equation ...general solution of functional equation ...vector spaces, and then we prove the generalized Hyers-Ulam stability of ... See full document
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Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... On Generalized Fuzzy Normed Spaces, International Mathematical Forum, 4, 2009, ...the stability of the linear functional equation, ...Rassias, Stability of ... See full document
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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
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