Solution and Stability of a Mixed Type Functional Equation in Non-Archimedean Random Spaces

ZHANG Shi-sheng; R. Saadati; G. Sadeghi

doi:10.3879/j.issn.1000-0887.2011.05.012

Volume 32 Issue 5

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ZHANG Shi-sheng, R. Saadati, G. Sadeghi. Solution and Stability of a Mixed Type Functional Equation in Non-Archimedean Random Spaces[J]. Applied Mathematics and Mechanics, 2011, 32(5): 623-634. doi: 10.3879/j.issn.1000-0887.2011.05.012

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Solution and Stability of a Mixed Type Functional Equation in Non-Archimedean Random Spaces

doi: 10.3879/j.issn.1000-0887.2011.05.012

1.
Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China;

Received Date: 2011-01-11
Rev Recd Date: 2011-03-14
Publish Date: 2011-05-15

Abstract

Abstract

The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces was proved. Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces and the theory of functional equations were also presented.
- generalized Hyers-Ulam stability,
- Euler-Lagrange functional equation,
- non-Archimedean normed space,
- p-adic field

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References(31)

References

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