| Full text | |
| Author(s): |
de Andrade, Allan Edley Ramos
;
Wasques, Vinicius Francisco
Total Authors: 2
|
| Document type: | Journal article |
| Source: | MATHEMATICS; v. 12, n. 14, p. 8-pg., 2024-07-01. |
| 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. (AU) | |
| FAPESP's process: | 23/03927-0 - Fuzzy differential equations and fuzzy algebra with applications |
| Grantee: | Vinícius Francisco Wasques |
| Support Opportunities: | Regular Research Grants |