[PDF] Top 20 Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach
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Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach
... in which ⊥ is an abstract orthogonality relation was first investigated by Gudder and Strawther [8]. They defined ⊥ by a system consisting of five axioms and described the general semi-continuous real-valued solution of ... See full document
17
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 ...vector spaces is ... See full document
19
A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... a quadratic functional equation because the quadratic function f (x) = ax 2 is a solu- tion of the functional equation ...A quadratic functional equation was ... See full document
24
A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
... normed spaces and in random normed spaces, where m , n are different integers greater than ...using fixed point method, we prove the Hyers-Ulam stability of the above functional ... See full document
14
A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces
... The concept of statistical convergence for sequence of real numbers was introduced by Fast [7] and Steinhaus [29] independently, and since then several generalizations and applications of this notion have been ... See full document
30
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
18
A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...A generalized Hyers-Ulam stability problem for the quadratic ... See full document
16
Stability of functional equation obtained through a fixed point alternative in intuitionistic fuzzy normed spaces
... fixed-point alternative method is very useful for obtaining the solution of the Ulam problem and obtained the stability of the Cauchy func- tional equation in Banach spaces through the ... See full document
16
A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation
... Katsaras 1 defined a fuzzy norm on a vector space to construct a fuzzy vector topological structure on the space. Some mathematicians have defined fuzzy norms on a vector space from various points of view 2–4. In ... See full document
24
Generalized Stabilities of Euler-Lagrange-Jensen (a,b)-Sextic Functional Equations in Quasi-β-Normed Spaces
... the stability theory of functional equations for the proof of new fixed point theorems with ...The stability problems of several various functional equations have been ... See full document
8
A Fixed Point Approach to the Stability of a Quadratic Functional Equation in Algebras
... the quadratic equation ...vector spaces is quadratic if and only if there exists a unique symmetric biadditive mapping B such that f x Bx, x for all x see 16, 21, 26, ... See full document
10
Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach
... The fixed point alternative methods are implemented to give generalized Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy ... See full document
10
A Fixed Point Approach to the Stability of the Functional Equation
... the stability of the additive mapping as a special ...the generalized Hyers-Ulam stability for the linear mapping between Banach spaces was ...Hyers-Ulam stability of the additive ... See full document
8
Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach
... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group ...Banach spaces. Hyers’s theorem was generalized by Aoki 3 for ... See full document
9
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
... a fixed point method was proposed, by showing that many theorems concerning the stability of Cauchy, Jensen, quadratic, cubic, quartic, and monomial functional equations are ... See full document
15
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 ...Banach spaces. Hyers’ theorem was generalized by Aoki 3 for ... See full document
11
Nonlinear approximation of an ACQ-functional equation in nan-spaces
... a quadratic functional ...tic functional equation is said to be a quadratic ...a generalized Hyers-Ulam stability problem for the quadratic functional ... See full document
22
Investigation of the Stability via Shadowing Property
... each fixed x ∈ X, then a is linear. Hyers’ theorem was generalized in various ...who generalized Hyers’ theorem to the case of unbounded control functions was ...difference generalized ... See full document
12
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
Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods
... E is replaced by an Abelian group it was delt by P.W.Choelewa [10].S.Czerwik [11,12] proved the Hyer-Ulam-Rassias stability of the quadratic functional equation.This result further generalized ... See full document
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