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Lee, Yang-Hi; Jung, Soon-Mo

Stability of an \(n\)-dimensional mixed-type additive and quadratic functional equation in random normed spaces. (English) Zbl 1235.39026

J. Appl. Math. 2012, Article ID 547865, 15 p. (2012).
Summary: We investigate the stability problems for the \(n\)-dimensional mixed-type additive and quadratic functional equation \(2f(\sum^n_{j=1} x_j) + \sum_{1 \leq i, j \leq n, i \neq j} f(x_i - x_j) = (n + 1) \sum^n_{j=1} f(x_j) + (n - 1) \sum^n_{j=1} f(-x_j)\) in random normed spaces by applying the fixed point method.

Cited in 1 Document

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
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\textit{Y.-H. Lee} and \textit{S.-M. Jung}, J. Appl. Math. 2012, Article ID 547865, 15 p. (2012; Zbl 1235.39026)
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