Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem

Authors

  • Kandhasamy Tamilvanan Department of Mathematics, Faculty of Science & Humanities, R.M.K. Engineering College, Kavaraipettai, Tiruvallur 601 206, Tamil Nadu, India https://orcid.org/0000-0002-4900-7604
  • Syed Abdul Mohiuddine Department of General Required Courses, Mathematics, The Applied College, King Abdulaziz University, Jeddah 21589, Saudi Arabia https://orcid.org/0000-0002-9050-9104

DOI:

https://doi.org/10.56405/dngcrj.2023.08.01.01

Keywords:

Banach Space, Fixed Point, Hyers-Ulam Stability, Additive Functional Equation

Abstract

In this paper, we secure the general solution of the generalized additive functional equation

[Equation presented]

where r is a positive integer with N−{0,1,2,3,4}, and also examine Hyers-Ulam stability results by utilizing alternative fixed point for a generalized additive functional equation in Banach spaces.

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Published

2023-12-26

How to Cite

Tamilvanan, K., & Mohiuddine, S. A. (2023). Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem. Dera Natung Government College Research Journal, 8(1), 1–13. https://doi.org/10.56405/dngcrj.2023.08.01.01

Issue

Vol. 8 No. 1 (2023)

Section

Articles

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