[PDF] Top 20 A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
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A fixed point approach to the hyers-ulam stability of a functional equation in various normed 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 the ... See full document
14
A fixed point approach to the Hyers Ulam stability of an AQ functional equation on β Banach modules
... Therefore, f satisfies (.). Now, we claim that the functional equation (.) is not stable for p = in Corollary .. Suppose, on the contrary, that there exist an additive mapping A : C → C and a ... See full document
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A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces
... which implies that ρ(A − A ∗ ) = 0 or A = A ∗ , since ρ(A − A ∗ ) < ∞. Therefore A is unique. Theorem 2.2. Let ∈ {−1, 1} be fixed. Let E be a linear space and (X, µ) a µ-complete β- homogeneous PM-space. ... 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 ... See full document
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Ulam-Hyers Stability of Quadratic Reciprocal Functional Equation in Intuitionistic Random Normed spaces: Various Methods
... of stability problem for functional equations goes back to a question raised by Ulam [44] concerning the stability of group homomorphisms that affirmatively answered for Banach spaces ... See full document
12
On the Stability of Quartic Functional Equations via Fixed Point and Direct Method
... The Hyers-Ulam- Rassias stability of the quartic functional equation ...using fixed point method on random normed space is given in section ...direct ... See full document
6
On the Probabilistic Stability of the 2-variable $k$-AC-mixed Type Functional Equation
... the stability of the linear transformation in Banach spaces, ...Zhang, Ulam-Hyers stability of a 2-variable AC-mixed type functional equation: direct and fixed ... See full document
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Generalized Ulam Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
... mentioned stability involving a product of powers of norms is called Ulam- Gavruta-Rassias stability by various authors see ...type functional equations and their ... See full document
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Stability of Functional Equations in Multi Banach Spaces via Fixed Point Approach
... In the last section, we prove the stability problem in the sense of Hyers-Ulam-Rassias for the functional equations 1.1 and 1.2 on Multi-Banach spaces by using fixed point approach.. We [r] ... See full document
6
Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras
... generalized Hyers-Ulam stability of the functional equation ...generalized Hyers-Ulam stability of the functional equation ...Banach spaces by ... See full document
10
Approximately generalized additive functions in several variables via fixed point method
... random normed spaces (RN-spaces) is important as a generalization of deterministic result of linear normed spaces and also in the study of random operator ...generalized ... See full document
15
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
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
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Solution and Generalized Ulam-Hyers Stability of a n-Dimensional Additive Functional Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods
... Rassias approach. 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 ... 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 equations ... See full document
21
Hyers Ulam stability of functional equations in matrix normed spaces
... functional equation. In particular, every solution of the Cauchy additive functional equation is said to be an additive ...mapping. Hyers [] gave the first affirmative partial answer to ... See full document
11
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 ... See full document
14
Fuzzy Hyers Ulam stability of an additive functional equation
... Katsaras [21] 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 (see ... See full document
13
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... Fuzzy Normed Spaces, International Mathematical Forum, 4, 2009, ...D.H. Hyers, On the stability of the linear functional equation, ...D.H. Hyers, G. Isac, Th.M. Rassias, ... See full document
19
Nonlinear approximation of an ACQ-functional equation in nan-spaces
... functional equation. In particular, every solution of the quadra- tic functional equation is said to be a quadratic ...generalized Hyers-Ulam stability problem for the ... See full document
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