Fixed-Point Theorems for Fuzzy Mappings

被引:0
|
作者
de Andrade, Allan Edley Ramos [1 ]
Wasques, Vinicius Francisco [2 ]
机构
[1] Univ Fed Mato Grosso do Sul, CPTL, BR-79613000 Tres Lagoas, Brazil
[2] Ilum Sch Sci, CNPEM, Campinas, Brazil
基金
巴西圣保罗研究基金会;
关键词
fuzzy topology; fuzzy sets; fuzzy mapping; fixed point; coincidence point; multi-valued map;
D O I
10.3390/math12142165
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
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页数:8
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