System of AQC functional equations in non-Archimedean normed spaces

Author(s):

H. Majani *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
‎In 1897‎, ‎Hensel introduced a normed space which does‎ ‎not have the Archimedean property‎. ‎During the last three decades‎ ‎theory of non--Archimedean spaces has gained the interest of‎ ‎physicists for their research in particular in problems coming‎ ‎from quantum physics‎, ‎p--adic strings and superstrings‎. ‎In this paper‎, ‎we prove‎ ‎the generalized Hyers--Ulam--Rassias stability for a‎ ‎system of additive‎, ‎quadratic and cubic functional equations in‎ ‎non--Archimedean normed spaces‎.
Keywords:

Additive‎ , ‎quadratic‎ , ‎cubic‎ , ‎functional equation‎ , ‎non--Archimedean spaces‎ , ‎generalized Hyers--Ulam--Rassias stability

Language:
English
Published:
Journal of Linear and Topological Algebra, Volume:8 Issue: 1, Winter 2019
Pages:
41 to 52
https://www.magiran.com/p2261720  
سامانه نویسندگان
  • Majani، Hamid
    Author
    Majani, Hamid
    Assistant Professor Department of mathematics, Shahid Chamram University, اهواز, Iran
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