Results 1 to 10 of about 767 (107)
Additive double ρ-functional inequalities in β-homogeneous F-spaces
Journal of Mathematical Inequalities, 2021 . In this paper, we introduce and solve the following additive double ρ -functional in- equalities ρ 1 , ρ 2 are fi xed nonzero complex numbers with 2 where ρ 1 , ρ 2 are fi xed nonzero complex numbers with | ρ 1 | 2 + | ρ 2 2 < 1.
Qi Liu, Zhuang mo Sha, Y. Li
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Derivation-homomorphism functional inequalities
, 2021 In this paper, we introduce and solve the following additive-additive (s,t) -functional inequality ‖g(x+ y)−g(x)−g(y)‖+‖h(x+ y)+h(x− y)−2h(x)‖ (1) ∥∥∥s ( 2g ( x+ y 2 ) −g(x)−g(y) ∥∥∥+ ∥∥∥t ( 2h ( x+ y 2 ) +2h ( x− y 2 ) −2h(x) ∥∥∥ , where s and t are ...
Choonkill Park
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Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
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A general additive functional inequality and derivation in Banach algebras
, 2021 Using the fixed point method, we prove the Hyers-Ulam stability of homomorphisms in complex Banach algebras and complex Banach Lie algebras and also of derivations on complex Banach algebras and complex Banach Lie algebras for the general additive ...
M. Israr +3 more
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Stability and hyperstability of multi-additive-cubic mappings
Miskolc Mathematical Notes, 2021 In this article, we introduce the multi-additive-cubic mappings and then unify the system of functional equations defining a multi-additive-cubic mapping to a single equation.
Ahmad Nejati +2 more
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Ulam stability of an additive-quadratic functional equation in Banach spaces
Journal of Mathematical Inequalities, 2020 Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation f (x+ y,z+w)+ f (x− y,z−w)−2 f (x,z)−2 f (x,w) = 0.
I. Hwang, Choonkill Park
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Annales Mathematicae Silesianae, 2020 The paper consists of two parts. At first, assuming that (Ω, A, P) is a probability space and (X, ϱ) is a complete and separable metric space with the σ-algebra of all its Borel subsets we consider the set c of all ⊗ 𝒜-measurable and contractive in ...
Baron Karol
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A Parametric Functional Equation Originating from Number Theory
Annales Mathematicae Silesianae, 2022 Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
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New Pexiderizations of Drygas’ Functional Equation on Abelian Semigroups
Annales Mathematicae Silesianae, 2023 Let (S, +) be an abelian semigroup, let (H, +) be an abelian group which is uniquely 2-divisible, and let ϕ be an endomorphism of S. We find the solutions f, h : S → H of each of the functional equations f(x+y)+f(x+ϕ(y))=h(x)+f(y)+f∘ϕ(y), x,y∈S,f(x+y)+f ...
Aissi Youssef, Zeglami Driss
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Sine Subtraction Laws on Semigroups
Annales Mathematicae Silesianae, 2023 We consider two variants of the sine subtraction law on a semi-group S. The main objective is to solve f(xy∗ ) = f(x)g(y) − g(x)f(y) for unknown functions f, g : S → ℂ, where x ↦ x* is an anti-homomorphic involution.
Ebanks Bruce
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