Random homomorphisms and random derivations in random normed algebras via fixed point method (Q386793)
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scientific article; zbMATH DE number 6237261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random homomorphisms and random derivations in random normed algebras via fixed point method |
scientific article; zbMATH DE number 6237261 |
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Random homomorphisms and random derivations in random normed algebras via fixed point method (English)
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10 December 2013
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Largely inspired by the work of \textit{L. Cădariu} and \textit{V. Radu} [Fixed Point Theory Appl. 2009, Article ID 589143, 18 p. (2009; Zbl 1187.39033)], the authors use the fixed point method to obtain the Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in random normed spaces.
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Ulam-Hyers stability
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random derivation
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random homomorphism
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random normed algebra
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random normed space
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fixed point method
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Cauchy additive functional inequality
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Cauchy-Jensen additive functional inequality
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