[PDF] Top 20 Functional equations in paranormed spaces
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Functional equations in paranormed spaces
... 11. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 12. Aoki, T: On the stability of the linear transformation in Banach spaces. J. Math. Soc. ... See full document
14
Functional equations and inequalities in matrix paranormed spaces
... linear spaces of bounded Hilbert space opera- tors in terms of matricially normed spaces [] implies that quotients, mapping spaces and various tensor products of operator spaces may again be ... See full document
13
Functional equations and inequalities in paranormed spaces
... additive functional equa- tion, the quadratic functional equation ...cubic functional equation (.) and the quartic functional equation ...in paranormed spaces by using the fixed ... See full document
23
A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces
... of functional equations araised as follows: 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 problem ... See full document
30
Stability of an AQCQ functional equation in paranormed spaces
... of functional equations for the proof of new fixed point theorems with ...several functional equations have been extensively investigated by a number of authors (see ... See full document
20
AQ-Functional Equation in Paranormed Spaces
... respectively satisfies the equations (1.1) and (1.2) . Recently J. M. Rassias and H.M.Kim [9] investigated Generalized Hyers-Ulam stability for general additive functional equations in quasi- ... See full document
11
An AQCQ functional equation in paranormed spaces
... tic functional equation is said to be a quadratic ...quadratic functional equation was proved by Skof [21] for mappings f : X ® Y, where X is a normed space and Y is a Banach ...quadratic functional ... See full document
9
Fixed Points, Inner Product Spaces, and Functional Equations
... quadratic functional equation was proved by Skof 6 for mappings f : X → Y , where X is a normed space and Y is a Banach ...quadratic functional equation and of two functional equations of ... See full document
14
Stability for Functional Differential Equations with Delay in Banach Spaces
... differential equations appear in modelling of the networks containing lossless transmission lines (as in high-speed computers where the lossless transmission lines are used to interconnect switching circuits), in ... See full document
10
Cubic-quartic functional equations in fuzzy normed spaces
... 4(f (3x + y) + f(3x − y)) = −12(f(x + y) + f (x − y)) + 12(f(2x + y) + f (2x − y)) − 8f (y) − 192f (x) + f (2y) + 30f (2x). (1.5) It is easy to see that the function f : R → R defined by f(x) = ax 4 +bx 3 is a solution ... See full document
10
Stability of functional equations in \((n,\beta)\) normed spaces
... Hyers theorem for additive mappings. The result of Rassias has provided a lot of influence during the past years in the development of a generalization of the Hyers-Ulam stabil- ity concept. This new concept is known ... See full document
18
Stability of Quartic Functional Equations in the Spaces of Generalized Functions
... for fixed integer a with a / 0, ±1. In the cases of a 0, ±1 in 1.4, homogeneity property of quartic functional equations does not hold. We dispense with this cases henceforth, and assume that a / 0, ±1. In ... See full document
16
Functional differential equations with infinite delay in Banach spaces
... differential equation with infinite delay in a Banach space and the exponential stability of the solution semigroup of the corresponding linear equation, and found that the exponential s[r] ... See full document
12
Intuitionistic Fuzzy Stability of a Quadratic Functional Equation
... 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 question of Ulam for ... See full document
7
Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces
... Integro-differential equations play an important role in many branches of linear and non linear functional analysis and their applications in the theory of engineering, mechanics, physics, chemistry, ... See full document
20
On stability of functional equations related to quadratic mappings in fuzzy Banach spaces
... 2. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 3. Aoki, T: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Jpn. ... See full document
12
Limit Theorems of Integrals with Respect to Vector Random Measures in Complete Paranormed Spaces
... Evolution Equations, Seventh International Conference on Dynamic Systems and Applications & Fifth International Conference on Neural, Parallel, and Scientific Computations, May 2015, Atlanta, ... See full document
6
On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function
... The mappings σ are one to one and such that σ k n / n for all positive integers n and k, where σ k n denotes the kth iterate of the mapping σ at n. Thus φ extends the limit functional on c, the space of convergent ... See full document
13
Hyers Ulam stability of functional equations in matrix normed spaces
... 9. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 10. Aoki, T: On the stability of the linear transformation in Banach spaces. J. Math. Soc. ... See full document
11
Refined stability of additive and quadratic functional equations in modular spaces
... of functional equations originated with Ulam [], who raised the stability problem of group ...Cauchy functional equation in Banach ...of functional equations may be called Hyers-Ulam ... See full document
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