A note on fixed points for fuzzy mappings
type: Item
instance of: scholarly article
title: A note on fixed points for fuzzy mappings
zbMATH Open document ID: 0564.47028
DOI: 10.1016/0165-0114(85)90038-7
author: Osmo Kaleva
published in: Fuzzy Sets and Systems
publication date: 1985-01-01T00:00:00Z
review text: The following theorem was proved in [\textit{D. Butnariu}, Fuzzy Sets Syst. 7, 191-207 (1982; Zbl 0473.90087)]. Theorem. Let C be a nonempty convex compact subset of a real locally convex topological vector space. If F is a closed fuzzy mapping over C then F has a fixed point in C. In the cited paper there is no explicit mention of the normality of F(x) for all \(x\in C^ 1\). However, an example is given which shows, that this assumption cannot be omitted.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 90C99
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 3899621
MaRDI profile type: Publication
full work available at URL: 0165-0114(85)90038-7
OpenAlex ID: W2079312858
cites work: Fixed points for fuzzy mappings
cites work: Fuzzy performance of a coherent system
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description: scientific article; zbMATH DE number 3899621