Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2014.03.18
  • Accepted : 2014.06.09
  • Published : 2014.06.30
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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.

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References

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