Results 1 to 10 of about 547 (94)

Hyers-Ulam stability of functional equations in matrix normed spaces

, 2013
In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional equation and the quadratic functional equation in matrix normed spaces.MSC:47L25, 39B82, 46L07, 39B52.
Jung Rye Lee, D. Shin, Choonkill Park
semanticscholar   +1 more source

HYERS-ULAM STABILITY OF A PERTURBED GENERALISED LIENARD EQUATION

International Journal of Apllied Mathematics, 2019
In this paper, we consider the Hyers-Ulam stability of a perturbed generalized Lienard equation, using a nonlinear extension of Gronwall-Bellman integral inequality called the Bihari integral inequality.
I. Fakunle, P. Arawomo
semanticscholar   +1 more source

Satbility of Ternary Homomorphisms via Generalized Jensen Equation

, 2005
In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal, Szekelyhidi, Laszlo   +1 more
core   +2 more sources

On a problem by K. Nikodem

, 2002
Concerning a problem raised by K. Nikodem, we prove the following statement. If G is an Abelian group divisible by 2 , H is a Hilbert space and ε is a nonnegative real number and a function f : G → H satisfies ‖f (x − y) − 2f (x) − 2f (y)‖ ‖f (x + y ...
A. Gilányi
semanticscholar   +1 more source

Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation

Journal of Inequalities and Applications, 2011
In this paper, we prove the generalized Hyers-Ulam stability of generalized mixed type cubic, quadratic, and additive functional equation, in fuzzy Banach spaces. 2010 Mathematics Subject Classification: 39B82; 39B52.
Shin Dong, Park Choonkil, Gordji Madjid, Kamyar Mahdie, Khodaei Hamid   +4 more
doaj  

On Almost Everywhere K-Additive Set-Valued Maps

Annales Mathematicae Silesianae
Let X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
doaj   +1 more source

On approximate solution of Drygas functional equation according to the Lipschitz criteria

Acta Universitatis Sapientiae: Mathematica, 2019
Let G be an Abelian group with a metric d and E be a normed space.
EL-Fassi Iz-iddine
doaj   +1 more source

Stability of an AQCQ functional equation in non-Archimedean (n, β)-normed spaces

Demonstratio Mathematica, 2019
In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additivequadratic-cubic-quartic functional ...
Liu Yachai, Yang Xiuzhong, Liu Guofen
doaj   +1 more source

Fuzzy stabilities of a new hexic functional equation in various spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space ...
Dutta Hemen, Kumar B.V. Senthil, Sabarinathan S.   +2 more
doaj   +1 more source

GENERALIZED STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN VARIOUS SPACES

, 2019
. In this paper, using the direct and fixed point methods, we have established the generalized Hyers-Ulam stability of the following additive-quadratic functional equation in non-Archimedean and intuitionistic random normed spaces.   AMS 2010 Subject
Shaymaa Alshybani
semanticscholar   +1 more source