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Zbl 1139.39040
Miheţ, Dorel; Radu, Viorel
On the stability of the additive Cauchy functional equation in random normed spaces. (English)
[J] J. Math. Anal. Appl. 343, No. 1, 567-572 (2008). ISSN 0022-247X

Summary: Some stability results for the functional equations of Cauchy and Jensen in probabilistic setting are proved by using the fixed point method.
MSC 2000:
*39B82 Stability, separation, extension, and related topics
39B52 Functional equations for functions with more general domains
60H25 Random operators, etc.

Keywords: generalized stability; random normed space; probabilistic Cauchy functional equation; probabilistic Jensen functional equation; fixed point method

Cited in: Zbl 1236.39031

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