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Solution and stability of mixed type functional equation in non-Archimedean random normed spaces |
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| Authors: | Shi-sheng Zhang R Saadati G Sadeghi |
| Institution: | 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 |
| 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. |
| Keywords: | generalized Hyers-Ulam stability Euler-Lagrange functional equation nonArchimedean normed space p-adic field |
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