Fuzzy set-valued mappings and fixed point theorems
type: Item
instance of: scholarly article
title: Fuzzy set-valued mappings and fixed point theorems
zbMATH Open document ID: 0563.54024
author: Duong Trong Nhan
published in: Acta Mathematica Vietnamica
publication date: 1983-01-01T00:00:00Z
review text: A fuzzy-set valued mapping \(R\) is a function from a set \(X\) to \([0,1]^ X\). A fixed point of \(R\) is a point \(x_ 0\) of \(X\) such that \(R(x_ 0;x_ 0)\geq R(x_ 0;x)\) for any \(x\in X\). The problem of the existence of the fixed points for fuzzy-set valued mappings arises in game theory [cf. the reviewer, Bull. Math. Soc. Sci. Math. Répub. Soc. Roum., Nouv. Sér. 23(71), 29-35 (1979; Zbl 0398.90115)] and in other fields. Some existence criteria for fixed points of fuzzy-set valued mappings are proved and their applications to fuzzy games are pointed out.
reviewed by: Dan Butnariu
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 91A05
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 3897817
zbMATH Keywords: fuzzy game
zbMATH Keywords: fuzzy-set valued mapping
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3897817