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

ZHANG Shi-Sheng;R. SAADATI;G. SADEGHI

doi:10.1007/s10483-011-1447-6

Applied Mathematics and Mechanics >

2011 , Vol. 32 >Issue 5: 663 - 676

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

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

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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 date: 2011-01-11

Revised date: 2011-03-14

Online published: 2011-05-01

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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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ZHANG Shi-Sheng;R. SAADATI;G. SADEGHI . Solution and stability of mixed type functional equation in non-Archimedean random normed spaces[J]. Applied Mathematics and Mechanics, 2011 , 32(5) : 663 -676 . DOI: 10.1007/s10483-011-1447-6

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