Mihet, D., Saadati, R. and Vaezpour, S.M. (2010) The Stability of the Quartic Functional Equation in Random Normed Spaces. Acta Applicandae Mathematicae, 110, 797-803. https://doi.org/10.1007/s10440-009-9476-7

has been cited by the following article:

• TITLE: Generalized Stability of the Quadratic Type λ-Functional Equation with 3k-Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space

  AUTHORS: Ly Van An

  KEYWORDS: 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

  JOURNAL NAME: Open Access Library Journal, Vol.10 No.2, February 24, 2023

  ABSTRACT: 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.