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초록· 키워드
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We establish a new strategy to study the Hyers-Ulam-Rassias
stability of the Cauchy and Jensen equations in non-Archimedean
normed spaces. We will also show that under some restrictions,
every function which satisfies certain inequalities can be
approximated by an additive mapping in non-Archimedean normed
spaces. Some applications of our results will be exhibited. In
particular, we will see that some results about stability and
additive mappings in real normed spaces are not valid in
non-Archimedean normed spaces.
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참고문헌 (24)
참고문헌 신청
A. K. Katsaras / 1999 / Tensor products of non-Archimedean weighted spaces of continuous functions / Georgian Math. J. 6 (1) : 33 ~ 44
A. K. Mirmostafaee / 2008 / Fuzzy stability of the Jensen functional equation / Fuzzy Sets and Systems 159 (6) : 730 ~ 738
A. K. Mirmostafaee / 2008 / Fuzzy versions of Hyers-Ulam-Rassias theorem / Fuzzy Sets and Systems 159 (6) : 720 ~ 729
A. Khrennikov / 1997 / Non-Archimedean Analysis: quantum paradoxes, dynamical systems and biological models, Mathematics and its Applications / Kluwer Academic Publishers : 427 ~
D. Deses / 2005 / On the representation of non-Archimedean objects / Topology Appl 153 (5) : 774 ~ 785
A. K. Mirmostafaee / 2008 / Fuzzy stability of the Jensen functional equation / Fuzzy Sets and Systems 159 (6) : 730 ~ 738
A. K. Mirmostafaee / 2008 / Fuzzy versions of Hyers-Ulam-Rassias theorem / Fuzzy Sets and Systems 159 (6) : 720 ~ 729
A. Khrennikov / 1997 / Non-Archimedean Analysis: quantum paradoxes, dynamical systems and biological models, Mathematics and its Applications / Kluwer Academic Publishers : 427 ~
D. Deses / 2005 / On the representation of non-Archimedean objects / Topology Appl 153 (5) : 774 ~ 785
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