Results 61 to 70 of about 166 (76)

Combined system of additive functional equations in Banach algebras

Open Mathematics
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj   +1 more source

Multi-quadratic mappings in Banach spaces

, 2002
We prove the stability of multi-quadratic functional equations in Banach spaces. 1. Stability of multi-quadratic functional equations in Banach spaces Let E1 and E2 be Banach spaces with norms || · || and ‖·‖, respectively.
Chun-Gil Park
semanticscholar   +1 more source

Approximate multi-Cauchy mappings on certain groupoids

Open Mathematics
In this article, we give a representation of multi-Cauchy mappings on groupoids as an equation and then establish the (Hyers and Găvruţa) stability of such mappings on groupoids.
Park Choonkil, Bodaghi Abasalt, Donganont Mana   +2 more
doaj   +1 more source

Mean ergodic theorem for semigroups of linear operators in multi-Banach spaces

, 2014
In this paper, by using Rodé’s method, we extend Yosida’s theorem to semigroups of linear operators in multi-Banach spaces.MSC:39A10, 39B72, 47H10, 46B03.
H. M. Kenari, R. Saadati, M. Azhini, Y. Cho   +3 more
semanticscholar   +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

Functional equations and inequalities in matrix paranormed spaces

, 2013
In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality, the Cauchy additive functional equation and the quadratic functional equation in matrix paranormed spaces.MSC:47L25, 39B82, 39B72, 46L07, 39B52, 39B62.
Choonkill Park, Jung Rye Lee, D. Shin
semanticscholar   +1 more source

Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This study is motivated through the interesting non-Arcchimedean stability results of ρ-inequalities and ρ-equations arising from linear, second power, third power and fourth power mappings.
Dutta Hemen, Senthil Kumar B. V., Suresh S.   +2 more
doaj   +1 more source

On the Ulam-Hyers stability of a quadratic functional equation

Journal of Inequalities and Applications, 2011
The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated.
Park Won-Gil, Bae Jae-Hyeong, Lee Sang-Baek   +2 more
doaj  

On Lyapunov-type inequalities for [Formula: see text]-Laplacian systems. [PDF]

J Inequal Appl, 2017
Jleli M, Samet B.
europepmc   +1 more source

Approximation of the multiplicatives on random multi-normed space. [PDF]

J Inequal Appl, 2017
Agarwal RP, Saadati R, Salamati A.
europepmc   +1 more source