ON THE DEFINITION OF FUZZY HILBERT SPACES AND ITS APPLICATION
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2004
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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.
Share and Cite
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
Keywords
- Fixed point theorem
- fuzzy Hilbert space
- fuzzy inner product space
- Riesz representation theorem
- Uryson's integral equation.
MSC
References
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