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Moslehian, M.S. and Sadeghi, Gh. (2008) A Mazur-Ulam Theorem in Non-Archimedean Normed Spaces. Nonlinear Analysis, 69, 3405-3408. https://doi.org/10.1016/j.na.2007.09.023

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.