Research Article

Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space

Volume: 14 Number: 2 July 31, 2024
EN

Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space

Abstract

The aim of this paper is to investigate the Hyers-Ulam stability of radical cubic functional inequality in modular space with ∆2-condition and in fuzzy Banach space

Keywords

References

  1. [1] I. Amemiya, On the representation of complemented modular lattices, J. Math. Soc. Japan, 9(2), 1957, 263–279.
  2. [2] Y. Aribou, S. Kabbaj, New functional inequality in non-Archimedean Banach spaces related to radical cubic functional equation, Asia Math., 2(3), 2018, 24–31.
  3. [3] T. Bag, S.K. Samanta, Finite dimensional fuzzy normed linear space, J. Fuzzy Math., 11(2), 2003, 687–706.
  4. [4] J.A. Baker, The stability of certain functional equations, Proc. Am. Math. Soc., 112(3), 1991, 729–732.
  5. [5] L. Cadariu, V. Radu, Fixed Points and the Stability of Jensen’s Functional Equation, J. Inequalities Pure Appl., 4(4), 2003, 1–7.
  6. [6] Y.J. Cho, C. Park, R. Saadati, Functional inequalities in non-Archimedean Banach spaces, Appl. Math. Lett., 23(10), 2010, 1238–1242.
  7. [7] J.B. Diaz, B. Margolis, A Fixed Point Theorem of the Alternative, for Contractions on a Generalized Complete Metric Space, Bull. Am. Math. Soc., 74(2), 1968, 305–309.
  8. [8] P. Gavruja, A generalization of the hyers-ulam-rassias stability of approximately additive mappings, J. Math. Anal. Appl., 184(3), 1994, 431–436.

Details

Primary Language

English

Subjects

Mathematics Education, Science Education, Science and Mathematics Education (Other)

Journal Section

Research Article

Authors

Abderrahman Baza This is me
Morocco

Publication Date

July 31, 2024

Submission Date

August 20, 2023

Acceptance Date

November 18, 2023

Published in Issue

Year 2024 Volume: 14 Number: 2

APA
Baza, A., & Rossafi, M. (2024). Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space. Azerbaijan Journal of Mathematics, 14(2), 144-159. https://izlik.org/JA38RW28HF
AMA
1.Baza A, Rossafi M. Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space. AZJM. 2024;14(2):144-159. https://izlik.org/JA38RW28HF
Chicago
Baza, Abderrahman, and Mohamed Rossafi. 2024. “Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space”. Azerbaijan Journal of Mathematics 14 (2): 144-59. https://izlik.org/JA38RW28HF.
EndNote
Baza A, Rossafi M (July 1, 2024) Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space. Azerbaijan Journal of Mathematics 14 2 144–159.
IEEE
[1]A. Baza and M. Rossafi, “Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space”, AZJM, vol. 14, no. 2, pp. 144–159, July 2024, [Online]. Available: https://izlik.org/JA38RW28HF
ISNAD
Baza, Abderrahman - Rossafi, Mohamed. “Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space”. Azerbaijan Journal of Mathematics 14/2 (July 1, 2024): 144-159. https://izlik.org/JA38RW28HF.
JAMA
1.Baza A, Rossafi M. Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space. AZJM. 2024;14:144–159.
MLA
Baza, Abderrahman, and Mohamed Rossafi. “Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space”. Azerbaijan Journal of Mathematics, vol. 14, no. 2, July 2024, pp. 144-59, https://izlik.org/JA38RW28HF.
Vancouver
1.Abderrahman Baza, Mohamed Rossafi. Stability of Radical Cubic Functional Inequality in Modular Spaces and Fuzzy Banach Space. AZJM [Internet]. 2024 Jul. 1;14(2):144-59. Available from: https://izlik.org/JA38RW28HF