Citation: | Ding Xie-ping. General Random Fixed Point Theorem and Its Applications[J]. Applied Mathematics and Mechanics, 1984, 5(5): 699-708. |
[1] |
Bharucha-Reid,A.T.,Random Integral Equations,Acad.Press,New York,(1972).
|
[2] |
Tsokos,C.P.and W.J.Padgett,Random Integral Equations,with Applications to Life Sciences and Engineering,Acad.Press,New York,(1974).
|
[3] |
Morse,W.L.The dishonest method in stream temperature modeling,Water Resour.Res.,14(1978),45-51.
|
[4] |
Engl.H.W.,A general stochastic fixed point theorem for continuous random operators on stochastic domains,J.Math.Anal.Appl.,66(1978),220-231.
|
[5] |
Bharugha-Reid,A.T.,Fixed point theorems in probabilistic analysis,Bull.Amer.Math.Soc.,82(1976),641-657.
|
[6] |
王梓坤,随机泛函分析引论,数学进展,5(1962),45-71
|
[7] |
Engl,H.W.,Random fixed point theorems,in Nonlinear Equations in Abstract Spaces,Acad.Press,New York,(1978),67-80.
|
[8] |
Bocsan,Gh.,A general random fixed point theorem and applications to random equation,Rev.Roum.Math.Pures et Appl.,26(1981),381-384.
|
[9] |
Iton,S.,A random fixed point theorem for a multivalued contraction mapping,Pacific J.Math.,68(1977),85-90.
|
[10] |
丁协平,连续随机算子的不动点定理,数学进展,12(1983),294-298.
|
[11] |
刘作述、陈绍仲,随机集值映象的不动点定理,科学通报,27(1982),1161-1162.
|
[12] |
张石生、陈绍仲,概率分析中的随机不动点定理及其对随机逼近论的应用,应用数学学报,5(1982),300-309.
|
[13] |
Chang,S.S.,Random fixed point theorem in probabilistic analysis,Nonlinear Anal.,5(1981),113-122.
|
[14] |
Mimmeberg,C.J.,Measurable relations,Fund.Math.,87(1975),53-72.
|
[15] |
Castaing,C.and M.Valadier,Convex Analysis and Measurable Multifunctions,Springer-Verlag,(1977),580.
|
[16] |
Himmeberg,C.J.and F.S.Van Vleck,Multifunctions on abstract measurable spaces and application to stochastic decision theory,Annali di Mat.Pura ed Appl.,101(1974),229-236.
|
[17] |
丁协平.集值压缩型映象的公共不动点定理,四川师院学抵数学专辑(1981),26-34.
|
[18] |
丁协平,非扩展型映射的某些不动点定理,数学进展,12(1983).133-140.
|
[19] |
丁协平.集值非自映射的某些不动点定理,数学研究与评论,(将发表).
|
[20] |
Assad,N.A.and W.A.Kirk,Fixed point theorems for set-valued mappings of contractive type,Pacific J.Math.,43(1972),553-562.
|
[21] |
Khan,M.S.,Common fixed point theorems for multivalued mappings,Pacific J.Math.,95(1981),337-347.
|
[22] |
丁协平,某些压缩映象的不动点定理及其相互关系,数学学报,(待发表).
|
[23] |
丁协平,轨道压缩映射的不动点定理,数学年刊,2(1981),511-517.
|
[24] |
Ding Xie-ping,Fixed point theorems of gneeralized contractive type mappings(Ⅱ),Chin.Ann.of Math.,4B(1983),153-163.
|
[25] |
Roseau.M(叶彦谦译),《常微分方程》,上海科技出版社(1981).
|
[26] |
丁协平,随机集值映射的不动点定理及其应用,应用数学和力学,5,4(1984).
|
[27] |
丁协平.关于抽象非线性Volterra积分方程解的存在唯一性定理,数学汇刊.3(1982).56-61
|