학술저널
REMARKS ON THE PAPER:
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 26, No. 2
-
2013.05377 - 391 (15 pages)
- 2
The main goal of this paper is to present the addi-tional stability results of the following orthogonally additive and orthogonally quadratic functional equation f(x2+ y) + f(x2¡ y) + f(x2+ z) + f(x2¡ z)=32 f(x) ¡12 f(¡x) + f(y) + f(¡y) + f(z) + f(¡z); for all x; y; z with x ? y, which has been introduced in the pa- per [11], in orthogonality Banach spaces and in non-Archimedean orthogonality Banach spaces.
1. Introduction
2. Approximate orthogonally additive and orthogonally qua- dratic mappings
3. Approximate orthogonally additive and orthogonally qua- dratic mappings in non-Archimedean spaces
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