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Condensing operators and topological degree theory in standard fuzzy normed spaces
- Source :
-
Fuzzy Sets & Systems . Apr2010, Vol. 161 Issue 8, p1047-1063. 17p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper level-cut measures of noncompactness are introduced in standard fuzzy normed spaces and condensing operators are studied. Using the extensions of nonlinear compact operators, topological degree theory with respect to condensing operators is given in standard fuzzy normed spaces. As an application of degree theory, a fixed point theorem for condensing operators is presented. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 161
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 48255407
- Full Text :
- https://doi.org/10.1016/j.fss.2009.08.004