Author(s)

Ly Van An

Faculty of Mathematics Teacher Education, Tay Ninh University, Tay Ninh, Vietnam.

In this paper, we study to solve the quadratic type λ-functional equation with 3k variables. First, we investigated in non-Archimedean Banach spaces with a fixed point method, next, we investigated in non-Archimedean Banach spaces with a direct method and finally we do research in non-Archimedean random spaces. I will show that the solutions of the quadratic type λ-functional equation are quadratic type mappings. These are the main results of this paper.

Quadratic λ-Functional Equation, Non-Archimedean Normed Space, Non-Archimedean Banach Space, Fixed Point Method, Direct Method, Hyers-Ulam Stability, Random Normed Spaces, Non-Archimedean Random Normed Space

An, L.V. (2023) Generalized Stability of the Quadratic Type λ-Functional Equation with 3k-Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space. Open Access Library Journal, 10, 1-21. doi: 10.4236/oalib.1109821.