A system of additive functional equations in complex Banach algebras

DOI10.1515/dema-2022-0165OpenAlexW4320487829MaRDI QIDQ2685892

Yamin Sayyari, Mehdi Dehghanian, Siriluk Paokanta, Chun-Gil Park

Publication date: 23 February 2023

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2022-0165

zbMATH Keywords

Hyers-Ulam stabilityfixed point methodadditive mapping\(f\)-hom-dersystem of additive functional equations

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Commutators, derivations, elementary operators, etc. (47B47) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Systems of functional equations and inequalities (39B72)

Related Items (4)

Some stabilities of system of differential equations using Laplace transform ⋮ Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem ⋮ The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• An additive (\({\alpha, \beta}\))-functional equation and linear mappings in Banach spaces
• Ternary \(\gamma\)-homomorphisms and ternary \(\gamma\)-derivations on ternary semigroups
• Fixed point theory and the Ulam stability
• \(C^\ast\)-ternary 3-homomorphisms on \(C^\ast\)-ternary algebras
• A fixed point theorem and the Ulam stability in generalized dq-metric spaces
• Additive \(s\)-functional inequality and Hom-derivations in Banach algebras
• Homomorphisms between Poisson JC*-algebras
• On new stability results for composite functional equations in quasi-\(\beta\)-normed spaces
• Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
• On a functional equation that has the quadratic-multiplicative property
• Impulsive Caputo-Fabrizio fractional differential equations in \(b\)-metric spaces
• Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations
• On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems
• The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces
• Approximate homomorphisms from ternary semigroups to modular spaces
• Bihom derivations in Banach algebras
• \(C^\ast\)-ternary 3-derivations on \(C^\ast\)-ternary algebras
• Automatic continuity of $\sigma $-derivations on $C^*$-algebras
• On Ulam stability of the second order linear differential equation
• A solution of the fractional differential equations in the setting of $b$-metric space
• The stability of an additive (ρ_1, ρ_2)-functional inequality in Banach spaces
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the Stability of the Linear Functional Equation
• On the stability of the additive Cauchy functional equation in random normed spaces
• Hadamard homomorphisms and Hadamard derivations on Banach algebras

This page was built for publication: A system of additive functional equations in complex Banach algebras