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Stability of a general p-radical functional equation related to additive mappings in 2-Banach spaces

  • AL Ali, Sadeq A. A. ; Almahalebi, Muaadh [1] ; Elkettani, Youssfi [1]
    1. [1] Université Ibn-Tofail

      Université Ibn-Tofail

      Kenitra, Marruecos

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 1, 2021, págs. 49-71
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-2021-01-0004
  • Enlaces
  • Resumen
    • In this paper, we introduce and solve a new general p-radical functional equation Also, we investigate some stability and hyperstability results for the considered equation in 2-Banach spaces. In addition, we prove the hyperstability of the inhomogeneous p-radical functional equation

  • Referencias bibliográficas
    • L. Aiemsomboon and W. Sintunavarat, “On a new type of stability of a radical quadratic functional equation using Brzdȩk’s fixed point theorem”,...
    • L. Aiemsomboon and W. Sintunavarat, “On generalized hyperstability of a general linear equation”, Acta mathematica hungarica, vol. 149, no....
    • Z. Alizadeh and A. G. Ghazanfari, “On the stability of a radical cubic functional equation in quasi-β-spaces”, Journal of fixed point theory...
    • M. Almahalebi and A. Chahbi, “Approximate solution of P-radical functional equation in 2-Banach spaces,” Acta mathematica scientia, vol. 39,...
    • T. Aoki, “On the stability of the linear transformation in Banach spaces”, Journal of the Mathematical Society of Japan, vol. 2, no. 1-2,...
    • J. Brzdȩk, “A note on stability of additive mappings”, in Stability of Mappings of Hyers-Ulam Type, T. M. Rassias and J. Tabor, Eds. Palm...
    • J. Brzdȩk and K. Ciepliński, “A fixed point approach to the stability of functional equations in non-Archimedean metric spaces”, Nonlinear...
    • J. Brzdęk, “Stability of additivity and fixed point methods”, Fixed Point Theory and Applications, vol. 2013, no. 1, Art ID. 285, Nov. 2013,...
    • J. Brzdȩk “Hyperstability of the Cauchy equation on restricted domains,” Acta mathematica hungarica, vol. 141, no. 1-2, pp. 58–67, Feb. 2013,...
    • J. Brzdęk, L. Cădariu, and K. Ciepliński, “Fixed Point Theory and the Ulam Stability”, Journal of function spaces, vol. 2014, Art ID. 829419,...
    • J. Brzdęk, W. Fechner, M. S. Moslehian, and J. Sikorska, “Recent developments of the conditional stability of the homomorphism equation”,...
    • J. Brzdęk, “3. Remark”,16th International Conference on Functional Equations and Inequalities, Będlewo, Poland, May 17-23, 2015, p. 196, Dec....
    • J. Brzdęk and K. Ciepliński, “On a fixed point theorem in 2-Banach spaces and some of its applications”, Acta mathematica scientia, vol. 38,...
    • M. E. Gordji, H. Khodaei, A. Ebadian, and G. H. Kim, “Nearly radical quadratic functional equations in p-2-normed spaces”, Abstract and applied...
    • M. Eshaghi Gordji and M. Parviz, “On the HyersUlam stability of the functional equation”, Nonlinear functions analysis applications, vol....
    • S. Gähler, “2-metrische Räume und ihre topologische Struktur”, Mathematische Nachrichten, vol. 26, no. 1-4, pp. 115–148, 1963, doi: 10.1002/mana.19630260109
    • S. Gähler, “Linear 2-normiete Räumen”, Mathematische Nachrichten, vol. 28, no. 1-2, pp. 1-43, 1964.
    • Z. Gajda, “On stability of additive mappings”, International journal mathematics sciences, vol. 14, no. 3, pp. 431-434, 1991, doi: 10.1155/S016117129100056X
    • D. H. Hyers, “On the stability of the linear functional equation”, Proceedings of the National Academy of Sciences of the United States of...
    • H. Khodaei, M. E. Gordji, S. Kim, and Y. Cho, “Approximation of radical functional equations related to quadratic and quartic mappings”, Journal...
    • S. Kim, Y. Cho, and M. E. Gordji, “On the generalized Hyers-Ulam-Rassias stability problem of radical functional equations”, Journal of inequalities...
    • W. -G. Park, “Approximate additive mappings in 2-Banach spaces and related topics”, Journal mathematics analysis applications, vol. 376, no....
    • J. M. Rassias, “On approximation of approximately linear mappings by linear mappings”, Journal functions analysis, vol. 46, no. 1, pp. 126-130,...
    • J. M. Rassias, “Solution of a problem of Ulam”, Journal of approximation theory, vol. 57, no. 3, pp. 268-273, Jun. 1989, doi: 10.1016/0021-9045(89)90041-5
    • T. Rassias, “On a modified Hyers-Ulam sequence”, Journal mathematics analysis applications, vol. 158, no. 1, pp. 106-113, Jun. 1991, doi:...
    • S. M. Ulam, Problems in modern mathematics. New York, NY: J. Wiley, 1964.

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