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- Title
ON THE DEFINITION OF FUZZY HILBERT SPACES AND ITS APPLICATION.
- Authors
Goudarzi, M.; Vaezpour, S. M.
- 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.
- Subjects
HILBERT space; LATTICE theory; BANACH spaces; INTEGRAL equations; RIESZ spaces; HYPERSPACE; MATHEMATICS
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2009, Vol 2, Issue 1, p46
- ISSN
2008-1898
- Publication type
Article
- DOI
10.22436/jnsa.002.01.07