박춘길 2019-03-06T06:17:58Z 2019-03-06T06:17:58Z 2016-10 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 21, NO 4, Page. 791-799 1521-1398 1572-9206 http://www.eudoxuspress.com/images/VOLUME-21-JOCAAA-2016-ISSUE-4.pdf https://repository.hanyang.ac.kr/handle/20.500.11754/100530 In this paper, we solve the quadratic rho-functional inequalities parallel to f(x + y) + f (x - y) 2f (x) - 2f (y) parallel to &lt;= parallel to rho (2f (x + y/2) + 2f (x - y/2) - f (x) - f (y))parallel to, (0.1) where rho is a fixed non-Archimedean number with vertical bar rho vertical bar &lt; 1, and parallel to 2f (x + y/2) + 2f (x - y/2) -f (x) - f (y)parallel to &lt;= parallel to rho(f(x + y) + f(x - y) - 2f (x) - 2f (y))parallel to, (0.2) where rho is a fixed non-Archimedean number with vertical bar rho vertical bar &lt; 1/2. Furthermore, we prove the Hyers-Ulam stability of the quadratic rho-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces and prove the Hyers-Ulam stability of quadratic rho-functional equations associated with the quadratic rho-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces. en EUDOXUS PRESS Hyers-Ulam stability non-Archimedean normed space quadratic rho-functional equation quadratic rho-functional inequality Quadratic rho-functional inequalities in non-Archimedean normed spaces Article 4 21 791-799 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS Yun, Sungsik Park, Choonkil 2016012345 S COLLEGE OF NATURAL SCIENCES[S] DEPARTMENT OF MATHEMATICS baak