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Topological degree theory and fixed point theorems in fuzzy normed space
- Source :
-
Fuzzy Sets & Systems . Nov2004, Vol. 147 Issue 3, p437-452. 16p. - Publication Year :
- 2004
-
Abstract
- In this paper, the Leray–Schauder topological degree theory is developed in a fuzzy normed space. Since the linear topology on this fuzzy normed space is not necessarily locally convex, and since each Menger probabilistic normed space can be considered as a special fuzzy normed space, the degree theory in this paper is different from the degree theory in locally convex linear topological space presented by Nagumo (Amer. J. Math. 73 (1951) 497–511), and it also is an extension of the degree theory in Menger probabilistic normed space studied by Zhang and Chen (Appl. Math. Mech. 10(6) (1989) 477–486). Applying this degree theory, some fixed point theorems for operators are given in fuzzy normed spaces, and some former corresponding results are extended and improved. [Copyright &y& Elsevier]
- Subjects :
- *TOPOLOGICAL spaces
*MATHEMATICS
*FUZZY numbers
*THEORY
Subjects
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 147
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 14428461
- Full Text :
- https://doi.org/10.1016/j.fss.2004.01.003