Ding Xie-ping, Lan Kun-quan. Fixed Point Index of Uniform Limit of Set-Valued Strict Set-Contractive Mappings and Its Applications[J]. Applied Mathematics and Mechanics, 1990, 11(11): 947-959.
Citation: Ding Xie-ping, Lan Kun-quan. Fixed Point Index of Uniform Limit of Set-Valued Strict Set-Contractive Mappings and Its Applications[J]. Applied Mathematics and Mechanics, 1990, 11(11): 947-959.

Fixed Point Index of Uniform Limit of Set-Valued Strict Set-Contractive Mappings and Its Applications

  • Received Date: 1989-09-27
  • Publish Date: 1990-11-15
  • In this paper, the class of uniform limit mappings of set-valued, strick set-contractive mappings is discussed.Furthermore, the fixed point index theory for the uniform limit mappings is established.Using the fixed point index theory, some positive fixed point theorems are proved.Our theorems generalize some results in [1,4,5,7].
  • loading
  • [1]
    Fitzpatrick,P.M.and W.V.Petryshyn,Fixed point theorems and the fixed point index for multivalued mappings in cones,J.London Math.Soc.,12,2(1975),75-85.
    [2]
    Petryshyn,W.V.,Some results on multiple positive fixed points of multivalued condensing mappings,Contemporary Math.,21(1983),171-177.
    [3]
    Petryshyn,W.V.,Multiple positive fixed points of multivalued condensing mappings with some applications,J.Math.Anal.Appl.,124(1987),237-253.
    [4]
    Petryshyn,W.V.,Fixed point theorems for various classes of 1-set-contraction and 1-ball-contractive mappings in Banach spaces,Trans.Am.Math.Soc.,182(1973).323-352.
    [5]
    Petryshyn,W.V.and P.M.Fitzpatrick,A degree theory,fixed point theorems,mapping theorems for multivalued noncompact mappings,Trans.Am.Math.Soc.,194(1974),1-25.
    [6]
    Castaing,C.and M.Valadier,Convex Analysis and Measurable Multifunctions,Lecture Notes in Math.,580,New York(1977).
    [7]
    Zhang Qing-yong,Subjectivity for multivalued 1-φ-contractive fields,Kexue Tongbao,31,24(1986).
  • 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 (1812) PDF downloads(525) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return