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On stability of additive mappings

Citations

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Cited by:

  1. G. Zamani Eskandani & P. Găvruţa & Gwang Hui Kim, 2012. "On the Stability Problem in Fuzzy Banach Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  2. Elhoucien Elqorachi & Michael Th. Rassias, 2018. "Generalized Hyers-Ulam Stability of Trigonometric Functional Equations," Mathematics, MDPI, vol. 6(5), pages 1-11, May.
  3. Young-Su Lee, 2011. "Stability in Generalized Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
  4. M. Eshaghi Gordji & M. B. Ghaemi & Badrkhan Alizadeh, 2011. "A Fixed Point Approach to Superstability of Generalized Derivations on Non‐Archimedean Banach Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
  5. Ick-Soon Chang & Jaiok Roh, 2025. "Some Centrally Extended Derivations on Banach Algebras," Mathematics, MDPI, vol. 13(14), pages 1-11, July.
  6. 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.
  7. 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.
  8. M. Eshaghi Gordji & H. Azadi Kenary & H. Rezaei & Y. W. Lee & G. H. Kim, 2012. "Solution and Hyers‐Ulam‐Rassias Stability of Generalized Mixed Type Additive‐Quadratic Functional Equations in Fuzzy Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  9. 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.
  10. M. Bidkham & H. A. Soleiman Mezerji & M. Eshaghi Gordji, 2010. "Hyers‐Ulam Stability of Polynomial Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
  11. Jaiok Roh & Ick-Soon Chang, 2008. "Functional Inequalities Associated with Additive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
  12. Yang-Hi Lee & Soon-Mo Jung, 2012. "Stability of an n‐Dimensional Mixed‐Type Additive and Quadratic Functional Equation in Random Normed Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
  13. M. Eshaghi Gordji & R. Khodabakhsh & S.-M. Jung & H. Khodaei, 2010. "AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
  14. Nicole Brillouët-Belluot & Janusz Brzdęk & Krzysztof Ciepliński, 2012. "On Some Recent Developments in Ulam′s Type Stability," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. Abbas Najati & Choonkil Park & Jung Rye Lee, 2009. "Homomorphisms and Derivations in C∗‐Ternary Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
  20. M. Eshaghi Gordji & M. Kamyar & Th. M. Rassias, 2011. "General Cubic‐Quartic Functional Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
  21. Heejeong Koh & Dongseung Kang, 2013. "Solution and Stability of Euler‐Lagrange‐Rassias Quartic Functional Equations in Various Quasinormed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
  22. Hark-Mahn Kim & Kil-Woung Jun & Eunyoung Son, 2012. "Hyers‐Ulam Stability of Jensen Functional Inequality in p‐Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  23. 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.
  24. Yang-Hi Lee, 2017. "Stability of a Monomial Functional Equation on a Restricted Domain," Mathematics, MDPI, vol. 5(4), pages 1-11, October.
  25. 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.
  26. 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.
  27. M. Eshaghi Gordji & G. H. Kim, 2012. "Approximate n‐Lie Homomorphisms and Jordan n‐Lie Homomorphisms on n‐Lie Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  28. M. Eshaghi Gordji & S. Zolfaghari & J. M. Rassias & M. B. Savadkouhi, 2009. "Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi‐Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
  29. Jung Rye Lee & Jong Su An & Choonkil Park, 2008. "On the Stability of Quadratic Functional Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
  30. Janusz Brzdęk & Krzysztof Ciepliński, 2013. "Hyperstability and Superstability," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
  31. Jong Su An & Jianlian Cui & Choonkil Park, 2008. "Jordan ∗‐Derivations on C∗‐Algebras and JC∗‐Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
  32. Choonkil Park, 2010. "Fixed Points and the Stability of an AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
  33. A. Ebadian & N. Ghobadipour & M. Eshaghi Gordji, 2012. "On the Stability of a Parametric Additive Functional Equation in Quasi‐Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  34. Heejeong Koh, 2023. "Stability Estimates for an Arithmetic Functional Equation with Brzdȩk Fixed Point Approaches," Mathematics, MDPI, vol. 11(7), pages 1-10, March.
  35. Sang Og Kim, 2020. "Stability of the Fréchet Equation in Quasi-Banach Spaces," Mathematics, MDPI, vol. 8(4), pages 1-20, April.
  36. M. Eshaghi Gordji & A. Ebadian & S. Zolfaghari, 2008. "Stability of a Functional Equation Deriving from Cubic and Quartic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
  37. M. Eshaghi Gordji & M. B. Ghaemi & G. H. Kim & Badrkhan Alizadeh, 2011. "Stability and Superstability of Generalized (θ, ϕ)‐Derivations in Non‐Archimedean Algebras: Fixed Point Theorem via the Additive Cauchy Functional Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
  38. Madjid Eshaghi Gordji, 2010. "Nearly Ring Homomorphisms and Nearly Ring Derivations on Non‐Archimedean Banach Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
  39. Choonkil Park & Abbas Najati, 2007. "Homomorphisms and Derivations in C*‐Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2007(1).
  40. 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.
  41. M. Eshaghi Gordji & H. Khodaei, 2009. "On the Generalized Hyers‐Ulam‐Rassias Stability of Quadratic Functional Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
  42. 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.
  43. L. Cădariu & L. Găvruţa & P. Găvruţa, 2012. "Fixed Points and Generalized Hyers‐Ulam Stability," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  44. 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.
  45. M. Eshaghi Gordji & M. B. Ghaemi & J. M. Rassias & Badrkhan Alizadeh, 2011. "Nearly Ternary Quadratic Higher Derivations on Non‐Archimedean Ternary Banach Algebras: A Fixed Point Approach," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
  46. 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.
  47. Kandhasamy Tamilvanan & Faruk Özger & S. A. Mohiuddine & Naeem Ahmad & Masho Jima Kabeto, 2025. "Fixed Point Technique: Stability Analysis of Quadratic Functional Equation in Various Quasi‐Banach Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
  48. Abasalt Bodaghi, 2022. "Generalized Multiquartic Mappings, Stability, and Nonstability," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
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