Stability of the Cubic Functional Equation in Intuitionistic Random Normed Spaces

ZHANG Shi-sheng; John Michael Rassias; Reza Saadati

doi:10.3879/j.issn.1000-0887.2010.01.003

Volume 31 Issue 1

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ZHANG Shi-sheng, John Michael Rassias, Reza Saadati. Stability of the Cubic Functional Equation in Intuitionistic Random Normed Spaces[J]. Applied Mathematics and Mechanics, 2010, 31(1): 19-25. doi: 10.3879/j.issn.1000-0887.2010.01.003

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Stability of the Cubic Functional Equation in Intuitionistic Random Normed Spaces

doi: 10.3879/j.issn.1000-0887.2010.01.003

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China;
Section of Mathematics and Informatics, Pedagogical Department, National and Capodistrian University of Athens, 4, Agamemnonos St., Aghia Paraskevi, Athens 15342, Greece;
Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran

Received Date: 2009-07-06
Rev Recd Date: 2009-11-26
Publish Date: 2010-01-15

Abstract

Abstract

The purpose is first to introduce the notation of intuition isticrandom normed spaces, and then by virtue of this notation to study the stability of a cubic functional equation in the setting of these spaces under arbitrary triangle norms. Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of intuitionistic spaces and the theory of functional equations are also presented.
- stability,
- cubic functional equation,
- random normed space,
- intuitionistic random normed spaces

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References(26)

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