Results 21 to 30 of about 976 (205)

Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras [PDF]

open access: yesAbstract and Applied Analysis, 2010
We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of ...
Madjid Eshaghi Gordji
doaj   +2 more sources

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

open access: yesAbstract 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   +2 more
doaj   +2 more sources

Model-theoretic properties of J-superstable Jonsson theories in classes defined by cosemanticness

open access: diamondҚарағанды университетінің хабаршысы. Математика сериясы
This article deals with the problems of model-theoretic characterization of J-superstable Jonsson theories. The characteristic features of such theories are analyzed in terms of J-stability, J-P-superstability, and J-nonmultidimensionality.
A.R. Yeshkeyev   +2 more
doaj   +3 more sources

On the Superstability of the Pexider Type Trigonometric Functional Equation [PDF]

open access: yesJournal of Inequalities and Applications, 2010
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered ...
Gwang Hui Kim
doaj   +2 more sources

Superstability of generalized cauchy functional equations

open access: yesAdvances in Difference Equations, 2011
In this paper, we consider the stability of generalized Cauchy functional equations such as Especially interesting is that such equations have the Hyers-Ulam stability or superstability whether g is identically one or not.
Chung Soon-Yeong, Lee Young-Su
doaj   +2 more sources

Minimum Superstability of Stochastic Ternary Antiderivations in Symmetric Matrix-Valued FB-Algebras and Symmetric Matrix-Valued FC-⋄-Algebras [PDF]

open access: gold, 2022
Our main goal in this paper is to investigate stochastic ternary antiderivatives (STAD). First, we will introduce the random ternary antiderivative operator. Then, by introducing the aggregation function using special functions such as the Mittag-Leffler
Zahra Eidinejad   +3 more
openalex   +2 more sources

Some Comments on the Superstability of a General Functional Equation [PDF]

open access: gold
In this paper, we prove a superstability theorem for a general functional equation ∑j=1∞ajf(γj(t,s))=h(t)g(s), with the unknown functions g:T→X, h:S→K and f:S→X, such that the series ∑j=1∞f(γj(t,s)) is ...
Janusz Brzdȩk
openalex   +2 more sources

Superstable groups

open access: yesAnnals of Pure and Applied Logic, 1986
This paper is an important contribution to the theory of stable groups. Powerful use is made of Lascar's U-rank, enabling new results as well as generalizations of the finite rank theory to be proved for arbitrary superstable groups. From now on let G denote a (saturated) superstable group (possibly with additional structure). A fundamental observation
Chantal Berline, Daniel Lascar
openaire   +2 more sources

Superstability of Some Pexider-Type Functional Equation [PDF]

open access: yesJournal of Inequalities and Applications, 2010
We will investigate the superstability of the sine functional equation from the following Pexider-type functional equation ( ), which can be considered the mixed functional equation of the sine and cosine functions, the mixed functional equation of the
Gwang Hui Kim
doaj   +2 more sources

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