ON STABILILTY OF GENERALIZED ADDITIVE FUNCTIONAL EQUATIONS IN BANACH SPACE

Authors

  • Yusuf Ibrahim Nigerian Defence Academy
  • Aminu A. Usman Department Of Mathematical Sciences, Nigerian Defence Academy, Kaduna

Keywords:

Banach space, Hyers-Ulam-Rassias stability, functional equation

Abstract

The stability problem arises when a functional equation is replaced by an inequality. When the equation admits a unique solution, we say that the equation is stable. In this paper, an Arunkumar-Agilan type additive functional equation is considered. By applying the direct method introduced by Hyers and the method of Gavruta, we established the Hyers-Ulam-Rassias stability condition for such an additive functional equation.

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Published

2024-10-31

How to Cite

Ibrahim, Y., & Aminu A. Usman. (2024). ON STABILILTY OF GENERALIZED ADDITIVE FUNCTIONAL EQUATIONS IN BANACH SPACE. Academy Journal of Science and Engineering, 18(2), 1–8. Retrieved from https://ajse.academyjsekad.edu.ng/index.php/new-ajse/article/view/365

Issue

Vol. 18 No. 2 (2024): Academy Journal of Science and Engineering (AJSE)

Section

Articles

License

Copyright (c) 2024 Yusuf Ibrahim, Aminu A. Usman

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