[PDF] Top 20 Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
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Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... D.H. Hyers, On the stability of the linear functional equation, ...D.H. Hyers, G. Isac, Th.M. Rassias, Stability of functional equations in several variables,Birkhauser, ... See full document
19
Solution and Generalized Ulam-Hyers Stability of a n-Dimensional Additive Functional Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods
... The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results concerning this problem (see [3, 7, 8, 9, 10, ... See full document
16
Ulam - Hyers stability of a 2- variable AC - mixed type functional equation in quasi - beta normed spaces: direct and fixed point methods
... Over the last seven decades, the above problem was tackled by numerous authors and its solutions via various forms of functional equations including mixed type additive and cubic functional ... See full document
21
Functional equation originating from sum of higher powers of arithmetic progression using difference operator is stable in Banach space
... the functional equation ...generalized Ulam - Hyers stability of the additive functional equation ...using direct and fixed point methods are ... See full document
12
The fixed point alternative and Hyers Ulam stability of generalized additive set valued functional equations
... 12. Hyers, DH: On the stability of the linear functional ...the stability of the linear transformation in Banach ...the stability of the linear mapping in Banach ...the ... See full document
11
Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative
... The stability problem of functional equations originated from a question of Ulam 12 concerning the stability of group ...homomorphisms. Hyers 13 gave a first affirmative partial ... See full document
17
Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces
... of stability theory of functional equations for the proof of new fixed-point theorems with applica- ...fixed-point methods, the stability problems of several ... See full document
18
Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods
... These kinds of the questions from the basis of stability theory, and D.H.Hyers [14,15] obtained the first important result in this field .Many examples of this have been solved and many variations have been ... See full document
8
Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach
... the stability of functional equation was first suggested by Hyers 17 while he was trying to answer the question originated from the problem of Ulam 18, and it is called a direct method ... See full document
10
Fixed Points, Inner Product Spaces, and Functional Equations
... 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 ... See full document
14
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 ... See full document
11
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
Intuitionistic Fuzzy Stability of n-Dimensional Cubic Functional Equation: Direct and Fixed Point Methods
... of stability problems for functional equations is linked to the renowned Ulam problem [34] (in 1940), concerning the stability of group homomorphisms, which was first elucidated by ... See full document
11
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 ... See full document
10
Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach
... of Hyers [17] we observed that Hyers introduced (in 1941) the following Hyers continuity condition: about the continuity of the mapping for each fixed, and then he proved homogenouity of ... See full document
13
Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach
... the fixed-point method in the study of Hyers-Ulam stability see also 22 ...the fixed-point method to the investigation of the Jensen functional equation see 23, 24 ... See full document
9
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 ...homomorphisms. Hyers 2 gave a first affirmative partial ... See full document
14
General Solution and Two Methods of Generalized Ulam - Hyers Stability of $n-$ Dimensional AQCQ Functional Equation
... of stability problems for functional equations is tied to a question of Ulam [61] regarding the sta- bility of group homomorphisms and certainly answered for a additive ... See full document
39
Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
... G?. Hyers [10] gave a first affirmative partial answer to the question of Ulam for Banach spaces, he proved that each solution of the inequality kf (x + y) − f(x) − f (y)k ≤ ε, for all x and y, can be ... See full document
6
Hyers Ulam stability of functional equations in matrix normed spaces
... quadratic functional equation is said to be a quadratic mapping. A Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof [] for mappings f : X → Y , ... See full document
11
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