Citation: | Fang Jin-xuan. Fixed Point Theorems of Local Contraction Mappings on Menger Spaces[J]. Applied Mathematics and Mechanics, 1991, 12(4): 339-347. |
[1] |
Sehgal,V.M.and A.T.Bharucha-Reid,Fixed points of contraction mappings on probabilistic metric spaces,Math.Systems Theory,6(1972),97-102.
|
[2] |
Cain,G.L.,Jr.and R.H.Kasriel,Fixed and periodic points of local contraction mappings on probabilistic metric spaces,ibid.,9(1975),289-297.
|
[3] |
Edelstein,M.,An extension of Banach's contraction principle,Proc.Amer.Math.Soc.,12(1961),7-10.
|
[4] |
Kuhfitting,Peter K.F.,Fixed points of Locally contractive and nonexpansive set-valued mappings,Pacific J.Math.,65,2(1976),399-403.
|
[5] |
Menger,K.,Statistical metrics,Proc.Nat.Acad.Sci.USA.,28(1942),535-537.
|
[6] |
Zhang Shi-sheng,Fixed point theorems of mappings on probabilistic metric spaces with applications,Scientia Sinica(Series A),26,11(1983),1144-1155.
|
[7] |
Zhang Shi-sheng,On the theory of probabilistic metric spaces with applications,Acta Math.Sinica,New Series,1,4(1985),366-377.
|
[8] |
张石生,《不动点理论及应用》,重庆出版社(1984).
|
[9] |
Schweizer,B.,A.Sklar and E.Thorp,The metrization of statistical metric spaces,Pacific J.Math.,10(1960),673-675.
|
[10] |
方锦暄,Menger空间上多值映象的不动点定理,南京师大学报(自然科学版),11,4(1988).1-6.
|
[11] |
方锦暄,概率度量空间中功一压缩映象的不动假定理,新疆大学学报(自然科学版),5,3(1988),21-28.
|
[12] |
Nadler,S.B.,Multi-valued contraction mapping,Pacific J.Math.,30(1969),475-487.
|