概率度量空间中Fuzzy映象的不动点定理<sup>*</sup>

张石生; 张颖; 袁家玮

概率度量空间中Fuzzy映象的不动点定理^*

1.
四川大学数学系, 成都 610064;
2.
加拿大多伦多约克大学数学系;
3.
四川行政财贸管理干部学院, 成都 610073

基金项目: * 国家自然科学基金资助课题

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出版历程
- 收稿日期: 1995-03-26
- 修回日期: 1996-04-01
- 刊出日期: 1996-12-15

Fixed Point Theorems for Fuzzy Mappings in Probabilistic Metric Spaces

1.
Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China;
2.
Department of Mathematics, York University, Toronto, Canada;
3.
Basic Department, Sichuan Administration Finance and Trade Manage Institute, Chengdu 610073, P. R. China

摘要

摘要: 本文在概率度量空间的框架下,得到了Fuzzy映象的几个公共不动点和不动度定理。本文结果包含和改进了某些最新结果。
- Fuzzy映象 /
- 概率度量空间 /
- 不动度 /
- Fuzzy度量空间 /
- h-型t-范数 /
- 不动点
Abstract: In this paper some fuzzy fixed point theorems and fixed degree theorems areobtained under the framework of probabilistic metric space, which contain and improvesome recent results.
- fuzzy mapping /
- probabilistic metric space /
- fixed point /
- fuzzymetric space /
- t-norm of h-type /
- fixed degree

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参考文献(22)

[1]	D.Butnariu,Fixed point theorems for fuzzy mappings,Fuzzy Sets and Systems,7(1982),191-207.
[2]	S.S.Chang,Y.J.Cho and S.M.Kang,Probabilistic Metric Spaces and Nonlinear Operator Theory,Sichuan University Press(1994).
[3]	S.S.Chang,Y.J.Cho,S.M.Kang and J.X.Fan,Common fixed point theorems for multi-valued mappings in Menger PM-spaces,Math.Japonica,40,3(1994),289-293.
[4]	S.S.Chang,Coincidence theorem and variational inequalities for fuzzy mappings,Fuzzy Sets and Systems,61(1994),359-368.
[5]	S.S.Chang,Fixed degree for fuzzy mappings and a generalization of Ky Fan's theorem,Fuzzy Sets and Systems,24(1987),103-112.
[6]	S.S.Chang,Coincidence degree and coincidence theorems for fuzzy mappings,Fuzzy Sets and Systems,27(1988),327-334.
[7]	张石生,关于Fuzzy映象的不动度,数学年刊A辑,8(4)(1987),492-495
[8]	张石生,模糊映象的不动点定理,科学通报,(14)(1984),833-836.
[9]	S.S.Chang,Fixed point theorems in probabilistic metric spaces with applications,Scientia Sinica(Ser.A),26(1983),1144-1155.
[10]	S.S.Chang,On the theory of PM-spaces with applications,Acta Math.Sinica.Nevr Series,1,4(1985),366-377.
[11]	J.X.Fan,A note on fixed point theorem of Hadzic,Fuzzy Sets and Systems,48(1992),391-395.
[12]	J.X.Fan,On fixed point theorems in fuzzy metric spaces,Fuzzy Sets and Systems,46(1992),107-113.
[13]	M.Grabiec,Fixed point in fuzzy metric spaces,Fuzzy Sets and Systems,27(1988),385-389.
[14]	O.Hadzic,Fixed point theorems for multi-valued mappings in probabilistic metric spaces,Mat.vesnik,3,16,31(1977),125-133.
[15]	O.Hadzic,Fixed point theorems for multi-valued mappings in some classes of fuzzy metric spsces,Fuzzy Sets and Systems,29(1989),115-125.
[16]	S.Heilpern,Fuzzy mappings and fixed point theorems,J.Math.Anal.Appl.,83(1981),566-569.
[17]	O.Kaleva and S.Seikkala,On fuzzy metric spaces,Fuzzy Sets and Systems,12(1984),215-229.
[18]	B.S.Lee and S.J.Cho,A fixed point theorem for contractive-type fuzzy mappings,Fuzzy Sets and Systems,61(1994),309-312.
[19]	B.S.Lee,G.M.Lee and D.S.Kim,Common fixed points of fuzzy mapping in Menger PM-spaces,J.Fuzzy Math.,2,4(1994),859-870.
[20]	B.Schweizer and S.A.Sklar,Probabilistic Metric Spaces,North-Holland(1983).
[21]	B.Schweizer and S.A.Sklar,Statistical metric spaces,Pacific J.Math.,10(1960),313-334.
[22]	B.Schweizer,S.A.Sklar and E.Thorp,The metrization of statistical metric spaces,Pacific J.Math.,10(19601),673-675.