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Fixed-Point Theorems for Fuzzy Mappings.
- Source :
- Mathematics (2227-7390); Jul2024, Vol. 12 Issue 14, p2165, 8p
- Publication Year :
- 2024
-
Abstract
- Since the 1970s and 1980s, significant contributions have been made by Weiss, Butnariu, Heilpern, Chitra, Subrahmanyam, and others, extending fixed-point theorems to fuzzy mappings and topological spaces. This paper provides two generalizations of two important fixed-point theorems, one provided by Butnariu and the other provided by Chitra. The first generalization ensures that, under certain conditions, an acyclic fuzzy mapping has a fixed point. The second result ensures the existence of a point in the intersection of two or more fuzzy mappings considering contractible finite dimensional ANR spaces, which is a generalization of the statement provided by Chitra. [ABSTRACT FROM AUTHOR]
- Subjects :
- FUZZY topology
SET-valued maps
TOPOLOGICAL spaces
FUZZY sets
GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 14
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 178699801
- Full Text :
- https://doi.org/10.3390/math12142165