Geodesic
ON THE DEFINITION OF FUZZY HILBERT SPACES AND ITS APPLICATION
GOUDARZI , M. 1 ; VAEZPOUR, S. M.1
1 Dept. of Math., Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 1, p. 46-59.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.002.01.07
Classification : 46A55, 46B99
Keywords: Fixed point theorem, fuzzy Hilbert space, fuzzy inner product space, Riesz representation theorem, Uryson's integral equation.

GOUDARZI , M.  1 ; VAEZPOUR, S. M. 1

1 Dept. of Math., Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran 
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GOUDARZI , M. ; VAEZPOUR, S. M. ON THE DEFINITION OF FUZZY HILBERT SPACES AND ITS APPLICATION. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 1, p. 46-59. doi : 10.22436/jnsa.002.01.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.01.07/

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