Multi-super-stability of antiderivations in Banach algebras

Article Computer Science, Theory & Methods

Estimation of permuting tri-homomorphisms and permuting tri-derivations associated with the tri-additive Υ-random operator inequality in matrix MB-algebra

Safoura Rezaei Aderyani et al.

Summary: In this paper, we stabilize the tri-additive Upsilon-random operator inequality by applying the Radu-Mihet method derived from an alternative FPT, and provide a class of stochastic matrix control functions in matrix MB-algebras. Additionally, we estimate permuting trihomomorphisms and permuting tri-derivations in unital matrix MC-lozenge-algebras and matrix MB-algebras.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS (2022)

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Article Mathematics, Applied

Stability of hyper homomorphisms and hyper derivations in complex Banach algebras

Yamin Sayyari et al.

Summary: This paper introduces the concepts of hyper homomorphisms and hyper derivations in Banach algebras, and establishes their stability in a specific functional equation.

AIMS MATHEMATICS (2022)

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Article Mathematics, Applied

DIVERGENCE CRITERIA FOR MATRIX GENERALIZED HYPERGEOMETRIC SERIES

Tom Cuchta et al.

Summary: We provide proofs of sharp divergence criteria for a large class of matrix hypergeometric series by estimating lower norm bounds of their terms. Difficulties in extending our techniques to singular matrix parameters are illustrated.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2022)

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Article Mathematics

On positive answer to El-Fassi's question related to hyperstability of the general radical quintic functional equation in quasi-β-Banach spaces

Nguyen Van Dung et al.

Summary: This paper investigates the hyperstability of the general radical quintic functional equation in quasi-beta-Banach spaces. Counterexamples are provided to show that the hyperstability does not always hold, followed by a proof of stability using the (beta, p)-normalization theorem.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS (2021)

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Article Mathematics

The Cadariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations

Safoura Rezaei Aderyani et al.

Summary: By applying the Cadariu-Radu method derived from the Diaz-Margolis theorem, the study explores the existence, uniqueness, and Gauss hypergeometric stability of Omega-Hilfer fractional differential equations on both compact and unbounded domains. The main results for unbounded domains are then presented, along with an example to illustrate the main result for a fractional system.

MATHEMATICS (2021)

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Article Mathematics, Applied

On the stability of the additive Cauchy functional equation in random normed spaces

Dorel Mihet et al.

APPLIED MATHEMATICS LETTERS (2011)

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Article Mathematics, Applied

Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces

Choonkil Baak

ACTA MATHEMATICA SINICA-ENGLISH SERIES (2006)

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Multi-super-stability of antiderivations in Banach algebras

相关参考文献

Estimation of permuting tri-homomorphisms and permuting tri-derivations associated with the tri-additive Υ-random operator inequality in matrix MB-algebra

Stability of hyper homomorphisms and hyper derivations in complex Banach algebras

DIVERGENCE CRITERIA FOR MATRIX GENERALIZED HYPERGEOMETRIC SERIES

On positive answer to El-Fassi's question related to hyperstability of the general radical quintic functional equation in quasi-β-Banach spaces

The Cadariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations

On the stability of the additive Cauchy functional equation in random normed spaces

Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces

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