Zobrazeno 1 - 10
of 180
pro vyhledávání: '"John Michael Rassias"'
Publikováno v:
Axioms, Vol 13, Iss 6, p 403 (2024)
The main goal of this research article is to investigate the stability of generalized norm-additive functional equations. This study demonstrates that these equations are Hyers-Ulam stable for surjective functions from an arbitrary group G to a real
Externí odkaz:
https://doaj.org/article/392f84e0670949dc84117b4cc849775f
Autor:
Kandhasamy Tamilvanan, Ali H. Alkhaldi, Jyotsana Jakhar, Renu Chugh, Jagjeet Jakhar, John Michael Rassias
Publikováno v:
Mathematics, Vol 11, Iss 2, p 371 (2023)
In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-condition using the direct method (Hyers method). We also examine Ulam stability in 2-Banach spac
Externí odkaz:
https://doaj.org/article/fcb0445d06384534a6af1fa230006aa9
Non-symmetry and symmetry of syzygies of a system of Cauchy functional equations with a homomorphism
Publikováno v:
Mathematics Open, Vol 01, Iss (2022)
Two entirely different Cauchy functional equations have been investigated in the literature with a couple of unknown operators f and g mapping a unitary ring X into a domain of integrity Y satisfying the elimination law and keeping the operations of
Externí odkaz:
https://doaj.org/article/d86cdbcfa43c47c1926dcc4871840882
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-15 (2020)
Abstract By a stochastic controller, we make stable the pseudo stochastic Lie bracket (derivation, derivation) in complex MB-algebras. Next, we get an approximation by a stochastic Lie bracket (derivation, derivation) and calculate the maximum error
Externí odkaz:
https://doaj.org/article/35c84be909424eaab9b6600219be342d
Publikováno v:
European Journal of Mathematical Analysis, Vol 3, Pp 7-7 (2022)
More than ten years after Justyna Sikorska [8] attempted to solve the Heyers-Ulam stability of a single variable equation by using direct method. In this paper, we will improve the results of Justyna Sikorska by using a more efficient approach. Relat
Externí odkaz:
https://doaj.org/article/50d22755c4524c9aa5f56aaecdde6476
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 37, Iss 2, Pp 35-49 (2019)
The aim of this paper is to investigate the stability problem for the pexiderized trigonometric functional equation f₁(xy)+f₂(xσ(y))=2g₁(x)g₂(y), x,y∈G, where G is an arbitrary group, f₁,f₂,g₁ and g₂ are complex valued functions o
Externí odkaz:
https://doaj.org/article/9fc382436c404c5ab87d8271d20789bd
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1188 (2022)
We investigate the Hyers–Ulam stability of an equation involving a single variable of the form ∥f(x)−αf(kn(x))−βf(kn+1(x))∥⩽u(x) where f is an unknown operator from a nonempty set X into a Banach space Y, and it preserves the addition o
Externí odkaz:
https://doaj.org/article/f94cad527f8a47489311a33e81d1bd7b
Publikováno v:
Journal of Function Spaces, Vol 2021 (2021)
In this research paper, the authors present a new mixed Euler-Lagrange σ-cubic-quartic functional equation. For this introduced mixed type functional equation, the authors obtain general solution and investigate the various stabilities related to th
Externí odkaz:
https://doaj.org/article/0ac3c45994cc439fb083d0b1fc214021
Publikováno v:
Journal of Function Spaces, Vol 2021 (2021)
In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-β-normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.
Externí odkaz:
https://doaj.org/article/acde75c6193441aea00f6045dfbe6eac
Publikováno v:
International Journal of Analysis and Applications, Vol 16, Iss 2, Pp 232-238 (2018)
In this paper, we prove the Hyers-Ulam Stability of Euler-Lagrange-Jensen’s (a,b)-Sextic Functional Equation in Multi-Banach Spaces.
Externí odkaz:
https://doaj.org/article/4d5478b6263a489d804c951d5d0225b0