Fuzzy映象的不动点定理

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Fixed Point Theorems for Fuzzy Mappings

摘要: Fuzzy映象的不动点理论是不分明数学理论和应用研究中的一个重要方面。本文对更一般的Fuzzy映象给出了几个新的不动点定理,发展了Heilpern的结果^[3]。此外还部分回答了引文[1]中提出的一个未解决的问题。

Abstract: Fixed point theorems for fuzzy mappings are of fundamental importance in fuzzy mathematical theory and application investigation This paper presents some new fixed point theorems for fuzzy mapping, whose results generalize and improve the results of [3] and give a partial answer to the unsolved problem suggested in [1].

[1]	Butnariu, D Fixed points for fuzzy mappings, Fuzzy Sets and Systems,7(1982),191-207.
[2]	Butnariu, D.A fined point theorem and its application to fuzzy games, Revue Roumaine Math, Pures Appl.24. 10 (1979),1424-1432.
[3]	Heilpern, S,Fuzzy mappings and fixed point theorem, J, Math, Anal, Appl,83(1981). 566-569.
[4]	Nadler, Jr,S, B,Multi-valued contraction mappings, Pacifis J.Math,30 (1969),475-488.
[5]	Rhoades, B, E.,A comparison of various definitions of contractive mappings, Tran,Amer.Math.Soc,228 (1977),257-290.