[PDF] Top 20 On the Stability of Quartic Functional Equations via Fixed Point and Direct Method
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On the Stability of Quartic Functional Equations via Fixed Point and Direct Method
... generalized version of the theorem of Hyers [4] was given by Th. M. Rassias [17] in 1978 which allows Cauchy difference to be unbounded. The generalization given by Th. M. Rassias [17] is called the Hyers-Ulam-Rassias ... See full document
6
Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
... the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional ...Hyers-Ulam stability via the fixed point method and investigate new ... See full document
15
General Stability of a Reciprocal Type Functional Equation in Three Variables
... the stability problem for functional equations is solved by direct method in which the exact solution of the functional equation is explicitly con- structed as a limit of a ... See full document
18
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
... a fixed constant. The solution of 3.1 and a generalized stability result in Ulam-Hyers sense for the above equation are given in 35, by the direct ... See full document
15
Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach
... each fixed, and then he proved homogenouity of degree one and therefore the famous ...Hyers direct method, in order to prove linearity for generalized Hyers–Ulam stability problem forms (see ... See full document
13
Fuzzy stability of a cubic functional equation via fixed point technique
... This method is called a direct ...given functional equation and is seen to be a powerful tool for studying the stability of many functional ...several stability problems and its ... See full document
8
On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
... of stability theory of functional equations for the proof of new fixed-point theorems with ...using fixed point methods, the stability problems of several ... 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
... S.M.Ulam, in this famous lecture in 1940 to the mathematics club of university as the stability problems of Wisconsin, presented a number of unsolved problems. This is the starting point of the theory of ... See full document
8
A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi Normed Spaces
... quintic functional equation f x 3y − 5fx 2y 10fx y − 10fx 5fx − y − fx − 2y 120fy and the sextic functional equation fx 3y − 6fx 2y 15f x y − 20f x 15f x − y − 6f x − 2y f x − 3y 720f y ...the ... See full document
23
Orthogonal Stability of an Additive-Quadratic Functional Equation
... of stability theory of functional equations for the proof of new fixed point theorems with applica- ...using fixed point methods, the stability problems of several ... See full document
11
On the stability of set-valued functional equations with the fixed point alternative
... 4. Stability of the generalized quadratic set-valued functional Equation ...the fixed point method, we define a generalized quadratic set-valued functional equation and prove the ... See full document
17
Orthogonal stability of functional equations with the fixed point alternative
... the stability theory of functional equations for the proof of new fixed point theorems with ...fixed point methods, the stability problems of several functional ... See full document
17
A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
... quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof 6 for mappings f : X → Y , where X is a normed space ... See full document
16
Orthogonal stability of an additive quartic functional equation with the fixed point alternative
... The stability problem of functional equations originated from the following question of Ulam [12]: Under what condition does there exist an additive mapping near an approximately additive mapping? In ... See full document
10
Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method
... Under what condition is there a homomorphism near an approximately homomorphism between a group and a metric group? This is called the stability problem of functional equations which was first raised ... See full document
24
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... the stability of functional ...This stability results is known as generalized Hyers-Ulam stability of functional equations (see [1, 2, 14, 20, 22, 26, ...Ulam stability ... See full document
19
A Fixed Point Approach to the Stability of the Functional Equation
... Note that the only substantial difference of the generalized metric from the metric is that the range of generalized metric includes the infinity. We now introduce one of fundamental results of fixed point ... See full document
8
Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach
... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the ... See full document
11
Approximately higher Hilbert $C^*$-module derivations
... Ulam-Hyers stability and the Isaac and Rassias-type stability of derivations [6]; ...the stability of ternary Jordan ...the stability and superstability of higher derivations on ...the ... See full document
8
Fixed Points and Stability in Nonlinear Equations with Variable Delays
... differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping ...two equations about the stability of the zero ... See full document
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