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Stability of a cubic functional equation in intuitionistic random normed spaces |
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| Authors: | Shi-sheng Zhang John Michael Rassias Reza Saadati |
| Institution: | 1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China 2. Section of Mathematics and Informatics, Pedagogical Department, National and Capodistrian University of Athens, Athens 15342, Greece 3. Department of Mathematics and Computer Science, Amirkabir University of Technology,Tehran 15914, Iran |
| Abstract: | In this paper,the stability of a cubic functional equation in the setting of intuitionistic random normed spaces is proved. We first introduce the notation of intuitionistic random normed spaces. Then,by virtue of this notation,we study the stability of a cubic functional equation in the setting of these spaces under arbitrary triangle norms. Furthermore,we present the interdisciplinary relation among the theory of random spaces,the theory of intuitionistic spaces,and the theory of functional equations. |
| Keywords: | stability cubic functional equation random normed space intuitionistic random normed spaces |
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