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.


39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
60H25 Random operators and equations (aspects of stochastic analysis)
Full Text: DOI


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