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On the stability of the additive Cauchy functional equation in random normed spaces. (English) Zbl 1139.39040
Summary: Some stability results for the functional equations of Cauchy and Jensen in probabilistic setting are proved by using the fixed point method.

MSC:
39B82Stability, separation, extension, and related topics
39B52Functional equations for functions with more general domains and/or ranges
60H25Random operators and equations