Zhang Shi-sheng, Chen Yu-qing. Topologieal Degree Theofy and Fixed Point Theorems in Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 1989, 10(6): 477-486.
Citation: Zhang Shi-sheng, Chen Yu-qing. Topologieal Degree Theofy and Fixed Point Theorems in Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 1989, 10(6): 477-486.

Topologieal Degree Theofy and Fixed Point Theorems in Probabilistic Metric Spaces

  • Received Date: 1987-11-25
  • Publish Date: 1989-06-15
  • The Leray-Schauder topological degree theory is established in the probabilistic linear normed spaces. Based on this theory, some fixed point theorems for mappings in the probabilistic linear normed spaces are shown.
  • loading
  • [1]
    Schweizer,B.and A.Sklar,Statistical metric spaces,Pacific J.Math.,10(1960),313-334.
    [2]
    Schweizer,B.and A.Sklar,Probabilistic Metric Spaces,North-Holland(1983).
    [3]
    Nagumo,M.,Degree of mapping in convex linear topological spaces,Amer.J.Math.,73(1951).497-511.
    [4]
    Deimling,K.,Nonlinear Functional Analysis,Springer-Verlag(1985).
    [5]
    Sherwood,H.,On.E-spaces and their relation to other classes of probabilistic metric spaces,J.London Math.Soc.,44(1969),441-448.
    [6]
    Bocsan,G.,On some measures of noncompactness in probabilistic metric spaces,Proc.Fifth Conf.Probability Theory,Brasov(1974),163-168;Bucharest Acad.R.S.R.(1977).
    [7]
    Istratescu,I.,A fixed point theorem for mappings with a probabilistic contractive iteration,Rev.Roumaine Math.Pure Appl.,26(1981),431-435.
    [8]
    Sehgal,V.M.and A.T.Bharucha-Reid,Fixed point of contraction mapping on probabilistic metric spaces,Math.Systems Theory.6,2(1972),97-102.
    [9]
    林熙,一类概率线性赋范空间随机算子,科学通报,4 (1983),199-201.
    [10]
    郭大钧,一个新的不动点定理,数学学报,24(1981),444-450.
    [11]
    张石生,《不动点理论及应用》,重庆出版社(.1984).
    [12]
    张石生,概率度量空间中映象的不动点定理及应用、中国科学(A辑),8.(1983),495-504.
    [13]
    张石生,概率度量空间中的随机算子理论及应用,应用数学学报,9,2(1988),129-137.
    [14]
    Zhang Shi-sheng,On the theory of probabilistic metric spaces with applications,Acta Math.Sinica,New Series,1,4(1985),366-377.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2057) PDF downloads(705) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return