[PDF] Top 20 Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
Has 10000 "Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces" found on our website. Below are the top 20 most common "Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces".
Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
... Hyers 1, 1941 has given an affirmative answer to a question of Ulam by proving the stability of additive Cauchy equations in Banach spaces. Then Aoki, Bourgin, Rassias, Forti and Gajda considered the ... See full document
18
Fixed Points, Inner Product Spaces, and Functional Equations
... quadratic functional equation. A generalized Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof 6 for mappings f : X → Y , where X is a normed space and Y is ... See full document
14
Vol 2, No 11 (2011)
... Probabilistic functional analysis has emerged as one of the important mathematical disciplines in view of its role in analyzing Probabilistic models in the applied ...of fixed point of ... See full document
7
Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation
... The stability problem of functional equations was originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability of functional ... See full document
11
Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces
... Theorem 2.3. A function f : X → Y with f0 0 satisfies 1.10 for all x, y ∈ X if and only if there exist functions Q : X × X → Y and C : X × X × X → Y such that fx Qx, x Cx, x, x for all x ∈ X, where the function C is ... See full document
16
On the stability of a cubic functional equation in random 2 normed spaces
... a metric space was introduced by Menger [13] under the name of statistical metric space, which is now called a probabilistic metric ...of probabilistic metric spaces is ... See full document
10
Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... cubic functional equation. Every solution of the cubic functional equation is said to be a cubic ...vector spaces X and Y is a solution of ...each fixed one variable and is additive for ... See full document
9
Approximately generalized additive functions in several variables via fixed point method
... of 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 ...Hyers-Ulam ... See full document
15
Stability of functional equations in \((n,\beta)\) normed spaces
... the stability of the linear functional ...the stability of the linear mapping in Banach ...the stability of a quartic functional ...Hyers-Ulam-Rassias Stability of ... See full document
18
Generalized Ulam Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
... the probabilistic notions of quantum mechanic from physics to the underlying ...of probabilistic normed spaces briefly, PN-spaces is important as a generalization of deterministic ... See full document
14
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... on stability of equation g ax a s gx a, s ∈ N, a ≥ 2 in random normed spaces and derive from it results on stability of equation f4x 10f2x − ...Ulam-Hyers stability for the ... See full document
16
Erratum to: A Note to Paper "On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces"
... cubic functional equation is said to be a cubic mapping. The stability problem for the cubic functional equation was solved by Jun and Kim 2 and Lee 3 for mappings f : X → Y , where X is a real ... See full document
6
Common Fixed Point Theorems For Finite Number Of Mappings Without Continuity And Compatibility In Menger Spaces
... Therefore by Lemma 2, we have Tz = z. Since STz = z therefore Sz = z. By combining the above results we have Az = Bz = Sz = Tz = Iz = Jz = Lz = Uz = Pz = Qz = z. that is z is a common fixed point of A, B, S, T, I, ... See full document
5
Nonlinear Random Stability of an ACQ Functional Equation
... The random topology proves to be a very useful tool to deal with such situations where the use of classical theories breaks ...space-time points are determined in a random ...a random ... See full document
23
Orthogonal Stability of Mixed Additive Quadratic Jensen Type Functional Equation in Multi Banach Spaces
... operator spaces and Banach lattices. Motivations for the study of multi-normed spaces and many examples are given in ...the stability problems in mul- ti-Banach spaces are studied by ... See full document
8
Vol 3, No 6 (2012)
... [8] Hyers, D.H. and Rassias, Th. M., Approximate Homomorphisms, Aequationes Math., 44 (1992), 125–153. [9] Hyers, D.H., On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U.S.A., ... See full document
9
Quadratic Quartic Functional Equations in RN Spaces
... of stability for functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ...Banach spaces. Let f : E → E be a mapping between ... See full document
14
Generalized Stabilities of Euler-Lagrange-Jensen (a,b)-Sextic Functional Equations in Quasi-β-Normed Spaces
... of stability of functional equations was instigated by the question of Ulam [42] in the year ...the stability of functional ...Hyers-Ulam stability of functional ... See full document
8
Hyers Ulam stability of functional equations in matrix normed spaces
... is called the Cauchy 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 partial ... See full document
11
Random Stability of an Additive Quadratic Quartic Functional Equation
... In the sequel we adopt the usual terminology, notations and conventions of the theory of random normed spaces, as in 37–41. Throughout this paper, Δ is the space of all probability distribution ... See full document
18
Related subjects