Results 21 to 30 of about 137 (107)

Approximate Multipliers And Approximate Double Centralizers: A fixed Point Approach

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the present paper, the Hyers-Ulam stability and also the super-stability of double centralizers and multipliers on Banach algebras are established by using a fixed point method. With this method, the condition of without order on Banach algebras is no
Bodaghi Abasalt, Eshaghi Gordji Madjid, Paykan Kamal   +2 more
doaj   +1 more source

Superstability of Generalized Multiplicative Functionals

Journal of Inequalities and Applications, 2009
Let X be a set with a binary operation ∘ such that, for each x,y,z∈X, either (x∘y)∘z=(x∘z)∘y, or z∘(x∘y)=x∘(z∘y).
Takeshi Miura, Hiroyuki Takagi, Makoto Tsukada, Sin-Ei Takahasi   +3 more
doaj   +2 more sources

On lattice oscillator equilibrium equation with positive infinite-range many-body potentials

Condensed Matter Physics, 2010
The symmetrized lattice Kirkwood-Salsburg (KS) equation for the Gibbs grand canonical correlation functions of the lattice oscillators, interacting via positive infinite-range manybody potentials, is solved.
W.I. Skrypnik
doaj   +1 more source

A Fixed Point Approach to Superstability of Generalized Derivations on Non-Archimedean Banach Algebras

Abstract and Applied Analysis, 2011
We investigate the superstability of generalized derivations in non-Archimedean algebras by using a version of fixed point theorem via Cauchy functional equation.
M. Eshaghi Gordji, M. B. Ghaemi, Badrkhan Alizadeh   +2 more
doaj   +1 more source

Some Centrally Extended Derivations on Banach Algebras

Mathematics
In this article, we consider centrally extended derivations on Banach algebras. We first establish the stability of centrally extended derivations on Banach algebras.
Ick-Soon Chang, Jaiok Roh
doaj   +1 more source

Approximation of Generalized Left Derivations

Abstract and Applied Analysis, 2008
We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp ...
Sheon-Young Kang, Ick-Soon Chang
doaj   +1 more source

Nearly Ternary Quadratic Higher Derivations on Non-Archimedean Ternary Banach Algebras: A Fixed Point Approach

Abstract and Applied Analysis, 2011
We investigate the stability and superstability of ternary quadratic higher derivations in non-Archimedean ternary algebras by using a version of fixed point theorem via quadratic functional equation.
M. Eshaghi Gordji, M. B. Ghaemi, J. M. Rassias, Badrkhan Alizadeh   +3 more
doaj   +1 more source

On superstability of derivations in Banach algebras

Open Mathematics
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj   +1 more source

Higher Ring Derivation and Intuitionistic Fuzzy Stability

Abstract and Applied Analysis, 2012
We take account of the stability of higher ring derivation in intuitionistic fuzzy Banach algebra associated to the Jensen type functional equation. In addition, we deal with the superstability of higher ring derivation in intuitionistic fuzzy Banach ...
Ick-Soon Chang
doaj   +1 more source

On the Intuitionistic Fuzzy Stability of Ring Homomorphism and Ring Derivation

Abstract and Applied Analysis, 2013
We take into account the stability of ring homomorphism and ring derivation in intuitionistic fuzzy Banach algebra associated with the Jensen functional equation.
Jaiok Roh, Ick-Soon Chang
doaj   +1 more source