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http://dx.doi.org/10.11568/kjm.2014.22.2.339

THE GENERALIZED HYERS-ULAM STABILITY OF ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN 2-NORMED SPACE  

Kim, Chang Il (Department of Mathematics Education Dankook University)
Park, Se Won (Department of Liberal arts and Science Shingyeong University)
Publication Information
Korean Journal of Mathematics / v.22, no.2, 2014 , pp. 339-348 More about this Journal
Abstract
In this paper, we investigate the solution of the following functional inequality $${\parallel}f(x)+f(y)+f(az),\;w{\parallel}{\leq}{\parallel}f(x+y)-f(-az),\;w{\parallel}$$ for some xed non-zero integer a, and prove the generalized Hyers-Ulam stability of it in non-Archimedean 2-normed spaces.
Keywords
stability; additive functional inequality; non-Archimedean space;
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