[PDF] Top 20 On the Stability of Affine Functional Equations in Various Spaces
Has 10000 "On the Stability of Affine Functional Equations in Various Spaces" found on our website. Below are the top 20 most common "On the Stability of Affine Functional Equations in Various Spaces".
On the Stability of Affine Functional Equations in Various Spaces
... In 1941, D. H. Hyers [3] was the first mathematician to present the result concerning the stability of functional equations on Banach spaces. The generalized version of D. H. Hyers [3] result ... See full document
7
Vol 3, No 4 (2012)
... Ulam-Rassias stability of various functional equations have been extensively introduced by a number of mathematicians ([12], [14-16]) on various spaces such as normed ... See full document
7
On stability of functional equations related to quadratic mappings in fuzzy Banach spaces
... quadratic functional equation. Quadratic functional equations were used to characterize inner product ...Hyers-Ulam stability problem for the quadratic functional equation ...the ... See full document
12
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 Ulam-Hyers ... See full document
14
Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... for all x ∈ E. Moreover if ftx is continuous in t ∈ R for each fixed x ∈ E, then T is linear. In 1978, Rassias 3 provided a generalization of Hyers’ Theorem which allows the Cauchy difference to be unbounded. In 1991, ... See full document
9
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
On the Stability of Generalized Quartic Mappings in Quasi Normed Spaces
... the stability problems of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to the solution of the given ... See full document
11
Stability of Trigonometric Functional Equations in Generalized Functions
... We consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and G[r] ... See full document
12
Intuitionistic Fuzzy Stability of a Quadratic Functional Equation
... various functional equations have been investigated by many mathematicians 9, 10. In the following, we first recall some fundamental results in the fixed point theory. Let X be a set. A function d : ... See full document
7
A general uniqueness theorem concerning the stability of monomial functional equations in fuzzy spaces
... Hyers-Ulam stability of a large class of functional equations, which includes monomial functional equations ...additive functional equation, the quadratic functional ... See full document
11
Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
... (Hyers-Ulam-Rassias stability ). The terminologies Hyers-Ulam stability and Hyers-Ulam-Rassias stability can also be applied to the case of other functional equations, differential ... See full document
6
Hyers Ulam stability of functional equations in matrix normed spaces
... quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof [] for mappings f : X → Y , where X is a normed ... See full document
11
Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
... Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations linear ... See full document
18
Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces
... of stability is an important branch of the qualitative theory of functional ...of stability for a functional equation arises when one replaces a functional equation by an inequality ... See full document
7
A functional equation related to inner product spaces in non Archimedean L random normed spaces
... normed spaces (RN-spaces) is important as a generalization of the deterministic result of linear normed spaces and also in the study of random operator ...Hyers-Ulam stability of different ... See full document
16
Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces
... The stability problems of several functional equations have been extensively investi- gated by a number of authors, and there are many interesting results concerning this ... See full document
8
Quadratic (s1,s2)-functional inequality in fuzzy normed space
... HU Stability is consequence of study of Ulam’s [1] problem regarding stability of group ...HU Stability under various ...HU stability in Banach spaces and non- Archimedean Banach ... See full document
10
On the generalized Hyers Ulam Rassias stability problem of radical functional equations
... the stability of the linear functional ...the stability of the linear transformation in Banach ...(ed.): Functional Equations, Inequalities and ...the stability of ... See full document
13
Functional equations in paranormed spaces
... the stability of the linear functional ...the stability of the linear transformation in Banach ...the stability of the linear mapping in Banach ...Hyers-Ulam-Rassias stability of ... See full document
14
Refined stability of additive and quadratic functional equations in modular spaces
... the stability of functional equations originated with Ulam [], who raised the stability problem of group ...Cauchy functional equation in Banach ...the stability of ... See full document
13
Related subjects