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Solution and stability of mixed type functional equation in non-Archimedean random normed spaces

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Abstract

The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces is proved. The interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces, and the theory of functional equations is presented.

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Author information

Authors and Affiliations

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

    Shi-sheng Zhang  (张石生)

  2. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran

    R. Saadati

  3. Department of Mathematics and Computer Sciences, Tarbiat Moallem University of Sabzevar, P. O. Box 397, Sabzevar, Iran

    G. Sadeghi

Authors
  1. Shi-sheng Zhang  (张石生)
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  2. R. Saadati
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  3. G. Sadeghi
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Corresponding author

Correspondence to R. Saadati.

Additional information

Contributed by Shi-sheng Zhang

Project supported by the Natural Science Foundation of Yibin University (No. 2009Z03)

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Zhang, Ss., Saadati, R. & Sadeghi, G. Solution and stability of mixed type functional equation in non-Archimedean random normed spaces. Appl. Math. Mech.-Engl. Ed. 32, 663–676 (2011). https://doi.org/10.1007/s10483-011-1447-6

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  • DOI: https://doi.org/10.1007/s10483-011-1447-6

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