ON THE DEFINITION OF FUZZY HILBERT SPACES AND ITS APPLICATION


Authors

M. GOUDARZI - Dept. of Math., Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran. S. M. VAEZPOUR - Dept. of Math., Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran.


Abstract

In this paper we introduce the notion of fuzzy Hilbert spaces and deduce the fuzzy version of Riesz representation theorem. Also we prove some results in fixed point theory and utilize the results to study the existence and uniqueness of solution of Uryson's integral equation.


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ISRP Style

M. GOUDARZI, S. M. VAEZPOUR, ON THE DEFINITION OF FUZZY HILBERT SPACES AND ITS APPLICATION, Journal of Nonlinear Sciences and Applications, 2 (2009), no. 1, 46-59

AMA Style

GOUDARZI M., VAEZPOUR S. M., ON THE DEFINITION OF FUZZY HILBERT SPACES AND ITS APPLICATION. J. Nonlinear Sci. Appl. (2009); 2(1):46-59

Chicago/Turabian Style

GOUDARZI , M., VAEZPOUR, S. M.. "ON THE DEFINITION OF FUZZY HILBERT SPACES AND ITS APPLICATION." Journal of Nonlinear Sciences and Applications, 2, no. 1 (2009): 46-59


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