Shao Yong-heng. Existence and Stability of Common Fixed Points for Systems of Mappings[J]. Applied Mathematics and Mechanics, 1993, 14(1): 59-68.
Citation: Shao Yong-heng. Existence and Stability of Common Fixed Points for Systems of Mappings[J]. Applied Mathematics and Mechanics, 1993, 14(1): 59-68.

Existence and Stability of Common Fixed Points for Systems of Mappings

  • Received Date: 1989-05-06
  • Publish Date: 1993-01-15
  • In this paper, we establish some common fixed point theorems and stability theorems of the sets of common fixed points for the systems of set-valued and single-valued nonlinear contractive type mappings in a finite Cartesian product of metric spaces.
  • loading
  • [1]
    Matkowski,J.,Some inequalities and a generalization of Banach principle,Bull.Acad.Pol.Sci.,21(1973),322-324.
    [2]
    Matkowski,J.,Integrable solutions of functional equations,Dissertations Math.(Rozprawy Math.),CⅩⅩⅤⅡ(1975),1-68.
    [3]
    Czerwik,S.,A fixed point theorem for a system of multivalued transformations,Proc.Amer.Math.Soc.,55(1976),136-139.
    [4]
    丁协平,非线性方程组解的存在性定理,解的迭代方法和某些应用,数学物理学报,5(1985),355-366.
    [5]
    Ding Xieping,Tarafdar E.Some coincidence theorems and applications[J].Bull Austral Math Soc,1995,50(1):73~80.
    [6]
    Iseki,K.,Multivalued contraction mappings in complete metric spaces,Rend.Sem.Mat.Univ.Padova.,53(1975),15-19.
    [7]
    Kubiaczyk,I.,Some fixed point theorems,Demonstration Math.,6(1976),507-515.
    [8]
    Singl,K.L.and J.H.M.Whitfield,Fixed points for contractive type multivalued mappings,Math.Japan.27(1982),117-124.
    [9]
    Boyd,D.W.and J.S.W.Wong,On nonlinear contractions,Proc.Amer.Math.Soc.,20(1969),458-464.
    [10]
    Lim,T.C.,On fixed point Stability for set-valued contractive mappings with applications to generalized differential equations,J.Math.Anal.Appl.,110(1985),436-441.
    [11]
    张石生,《不动点理论及应用》,重庆出版社(1984).
  • 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 (1686) PDF downloads(508) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return