[PDF] Top 20 General Solution and Two Methods of Generalized Ulam - Hyers Stability of $n-$ Dimensional AQCQ Functional Equation
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General Solution and Two Methods of Generalized Ulam - Hyers Stability of $n-$ Dimensional AQCQ Functional Equation
... We claim that the additive functional equation (1.3) is not stable for r = 1 in condition ( ii ) of Corollary 3.1. Suppose on the contrary that there exist a additive mapping A : R → R and a constant η > ... See full document
39
Solution and Generalized Ulam-Hyers Stability of a n-Dimensional Additive Functional Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods
... a general control function in the spirit of Rassias ...of two p − norms in the sprit of Rassias approach. The stability problems of several functional equations have been extensively ... See full document
16
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 the ... See full document
8
Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations
... last two decades, a number of papers and research monographs have been published on vari- ous generalizations and applications of the generalized Hyers-Ulam stability to a number of ... See full document
13
On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi Banach Spaces
... functional equation 1.5, which is called a quartic functional equation see also ...the generalized Hyers-Ulam stability for a mixed type of quartic and quadratic ... See full document
26
On the Stability of a New Pexider Type Functional Equation
... additive functional equations. In this paper, we establish the generalized Hyers-Ulam-Rassias stability for ...its general solution from the stability ... See full document
22
Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... [2] generalized the Hyers theorem for additive ...a generalized version of the theorem of Hyers which permitted the cauchy difference to become ... See full document
17
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... On Generalized 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. ... See full document
19
Functional equation originating from sum of higher powers of arithmetic progression using difference operator is stable in Banach space
... the general solution of the functional equation ...the generalized Ulam - Hyers stability of the additive functional equation ...point methods ... See full document
12
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 ... See full document
18
A Multidimensional Functional Equation Having Quadratic Forms as Solutions
... Jun, “On the generalized Hyers-Ulam-Rassias stability of an n-dimensional quadratic functional equation,” Journal of Mathematical Analysis and Applications, vol.. Park, “On the generaliz[r] ... See full document
8
Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach
... ρ i 6= 1 and s : X → R with X as space of non-negative real numbers and investigated generalized Hyers-Ulam stability of equation (2). It is easy to verify that the function f : X → R ... See full document
10
Hyers Ulam stability of functional equations in matrix normed spaces
... additive functional equation. In particular, every solution of the Cauchy additive functional equation is said to be an additive ...mapping. Hyers [] gave the first affirmative ... See full document
11
On the Ulam Hyers stability of a quadratic functional equation
... Let X be a real normed space and Y be a real Banach space in the case of functional inequalities, as well as let X and Y be real linear spaces in the case of functional equa- tions. The quadratic function ... See full document
9
Hyers Ulam stability of a generalized additive set valued functional equation
... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group ...homomorphisms. Hyers [] gave the first affirmative partial ... See full document
6
Solution and stability of system of quartic functional equations
... of functional analysis concerning the stability problem of functional equations had been first raised by ...S.M. Ulam [28] as follows: When is it true that a mapping satisfying a ... See full document
18
Functional Equation and Its Hyers Ulam Stability
... Remark 3.2. The functional equation 1.7 is a particular case of the linear equations of higher orders and the Hyers-Ulam stability of the linear equations has been proved in 21, Theorem ... See full document
10
Isomorphisms in unital $C^*$-algebras
... h(3 n uy) = h(3 n u)h(y) for all unitaries u ∈ A, all y ∈ A, and all n ∈ Z , and that almost linear continuous bijection h : A → B of a unital C ∗ -algebra A of real rank zero onto a unital C ∗ ... See full document
10
Stability of a 2 Dimensional Functional Equation in a Class of Vector Variable Functions
... by Hyers 2 in the case of Banach ...the Hyers-Ulam ...various functional equations and their Hyers-Ulam stability ...This Hyers-Ulam stability is a ... See full document
12
Investigation of the Stability via Shadowing Property
... The notion of pseudo-orbits very often appears in several areas of the dynamical systems. A pseudo-orbit is generally produced by numerical simulations of dynamical systems. One may consider a natural question which asks ... See full document
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