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Orthogonally Fixed Points and (m, m)‐Hom‐Derivation Equations

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  • Abdollah Dinmohammadi

Abstract

In this paper, we introduce the concept of m‐Hom‐m‐derivation (briefly (m, m)‐Hom‐derivation) equations in orthogonally Banach algebras. We use the orthogonally fixed point to investigate the hyperstability of (m, m)‐Hom‐derivation equations.

Suggested Citation

  • Abdollah Dinmohammadi, 2022. "Orthogonally Fixed Points and (m, m)‐Hom‐Derivation Equations," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:5735467
    DOI: 10.1155/2022/5735467
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    References listed on IDEAS

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    1. Fahad Sameer Alshammari & K. P. Reshma & Rajagopalan R. & Reny George & Naeem Saleem, 2021. "Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-20, October.
    2. Merfat Basha & Binxiang Dai & Wadhah Al-Sadi & Ahmet Ocak Akdemir, 2021. "Existence and Stability for a Nonlinear Coupled p-Laplacian System of Fractional Differential Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-15, February.
    3. Ameth Ndiaye & Fulgence Mansal & Ali Jaballah, 2021. "Existence and Uniqueness Results of Volterra–Fredholm Integro-Differential Equations via Caputo Fractional Derivative," Journal of Mathematics, Hindawi, vol. 2021, pages 1-8, August.
    4. Rigoberto Medina, 2018. "Stability for Linear Volterra Difference Equations in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    5. Rigoberto Medina, 2018. "Stability for Linear Volterra Difference Equations in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2018, pages 1-6, March.
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    Cited by:

    1. Vahid Keshavarz & Sedigheh Jahedi, 2022. "Orthogonally C∗‐Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

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