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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (5): 663-676.doi: https://doi.org/10.1007/s10483-011-1447-6

• Articles • 上一篇    

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

张石生1 R. SAADATI2 G. SADEGHI3   

  1. 1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China;
    2. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14778, Iran;
    3. Department of Mathematics and Computer Sciences, Tarbiat Moallem University of Sabzevar, P. O. Box 397, Sabzevar, Iran
  • 收稿日期:2011-01-11 修回日期:2011-03-14 出版日期:2011-04-27 发布日期:2011-05-01

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

ZHANG Shi-Sheng1, R. SAADATI2, G. SADEGHI3   

  1. 1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China;
    2. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14778, Iran;
    3. Department of Mathematics and Computer Sciences, Tarbiat Moallem University of Sabzevar, P. O. Box 397, Sabzevar, Iran
  • Received:2011-01-11 Revised:2011-03-14 Online:2011-04-27 Published:2011-05-01

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摘要： 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.

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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