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Fixed-Point Theorems for Fuzzy Mappings

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Autor(es):
de Andrade, Allan Edley Ramos ; Wasques, Vinicius Francisco
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: MATHEMATICS; v. 12, n. 14, p. 8-pg., 2024-07-01.
Resumo

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)

Processo FAPESP: 23/03927-0 - Equações diferenciais fuzzy e álgebra fuzzy com aplicações
Beneficiário:Vinícius Francisco Wasques
Modalidade de apoio: Auxílio à Pesquisa - Regular