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On stability of additive mappings

Author

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  • Zbigniew Gajda

Abstract

In this paper we answer a question of Th. M. Rassias concerning an extension of validity of his result proved in [3].

Suggested Citation

  • Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:817959
    DOI: 10.1155/S016117129100056X
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    Cited by:

    1. Elhoucien Elqorachi & Michael Th. Rassias, 2018. "Generalized Hyers-Ulam Stability of Trigonometric Functional Equations," Mathematics, MDPI, vol. 6(5), pages 1-11, May.
    2. Kandhasamy Tamilvanan & Ali H. Alkhaldi & Jyotsana Jakhar & Renu Chugh & Jagjeet Jakhar & John Michael Rassias, 2023. "Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces," Mathematics, MDPI, vol. 11(2), pages 1-23, January.
    3. Yang-Hi Lee & Gwang-Hui Kim, 2019. "Generalized Hyers-Ulam Stability of the Pexider Functional Equation," Mathematics, MDPI, vol. 7(3), pages 1-12, March.
    4. Kandhasamy Tamilvanan & Abdulaziz Mohammed Alanazi & John Michael Rassias & Ali H. Alkhaldi, 2021. "Ulam Stabilities and Instabilities of Euler–Lagrange-Rassias Quadratic Functional Equation in Non-Archimedean IFN Spaces," Mathematics, MDPI, vol. 9(23), pages 1-16, November.
    5. Syed Abdul Mohiuddine & Kandhasamy Tamilvanan & Mohammad Mursaleen & Trad Alotaibi, 2022. "Stability of Quartic Functional Equation in Modular Spaces via Hyers and Fixed-Point Methods," Mathematics, MDPI, vol. 10(11), pages 1-22, June.
    6. Ick-Soon Chang & Yang-Hi Lee & Jaiok Roh, 2023. "Representation and Stability of General Nonic Functional Equation," Mathematics, MDPI, vol. 11(14), pages 1-19, July.
    7. Yong-Soo Jung, 2016. "On the stability of higher ring left derivations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(3), pages 523-533, September.
    8. P. Agilan & K. Julietraja & Mohammed M. A. Almazah & Ammar Alsinai, 2023. "Stability Analysis of a New Class of Series Type Additive Functional Equation in Banach Spaces: Direct and Fixed Point Techniques," Mathematics, MDPI, vol. 11(4), pages 1-19, February.
    9. Abdulaziz M. Alanazi & G. Muhiuddin & K. Tamilvanan & Ebtehaj N. Alenze & Abdelhalim Ebaid & K. Loganathan, 2020. "Fuzzy Stability Results of Finite Variable Additive Functional Equation: Direct and Fixed Point Methods," Mathematics, MDPI, vol. 8(7), pages 1-14, June.
    10. Yang-Hi Lee, 2017. "Stability of a Monomial Functional Equation on a Restricted Domain," Mathematics, MDPI, vol. 5(4), pages 1-11, October.
    11. Jae-Hyeong Bae & Ick-Soon Chang & Hark-Mahn Kim, 2022. "Almost Generalized Derivation on Banach Algebras," Mathematics, MDPI, vol. 10(24), pages 1-8, December.
    12. Kandhasamy Tamilvanan & Yahya Almalki & Syed Abdul Mohiuddine & Ravi P. Agarwal, 2022. "Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces," Mathematics, MDPI, vol. 10(11), pages 1-17, June.
    13. Heejeong Koh, 2023. "Stability Estimates for an Arithmetic Functional Equation with Brzdȩk Fixed Point Approaches," Mathematics, MDPI, vol. 11(7), pages 1-10, March.
    14. Sang Og Kim, 2020. "Stability of the Fréchet Equation in Quasi-Banach Spaces," Mathematics, MDPI, vol. 8(4), pages 1-20, April.
    15. Kandhasamy Tamilvanan & Abdulaziz M. Alanazi & Maryam Gharamah Alshehri & Jeevan Kafle, 2021. "Hyers-Ulam Stability of Quadratic Functional Equation Based on Fixed Point Technique in Banach Spaces and Non-Archimedean Banach Spaces," Mathematics, MDPI, vol. 9(20), pages 1-15, October.
    16. El-sayed El-hady & Janusz Brzdęk, 2022. "Banach Limit and Ulam Stability of Nonhomogeneous Cauchy Equation," Mathematics, MDPI, vol. 10(10), pages 1-15, May.
    17. Ponmana Selvan Arumugam & Won-Gil Park & Jaiok Roh, 2024. "Stability and Instability of an Apollonius-Type Functional Equation," Mathematics, MDPI, vol. 12(14), pages 1-11, July.
    18. Kandhasamy Tamilvanan & Ali H. Alkhaldi & Ravi P. Agarwal & Abdulaziz M. Alanazi, 2023. "Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ -2-Normed Spaces and Non-Archimedean Banach Spaces," Mathematics, MDPI, vol. 11(2), pages 1-24, January.

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