Ding Xie-ping. Fixed Point Index of Ultimately Compact Set-Valued Mappinps in Hausdorff Locally Convex Spaces and Its Applications[J]. Applied Mathematics and Mechanics, 1987, 8(3): 207-214.
Citation: Ding Xie-ping. Fixed Point Index of Ultimately Compact Set-Valued Mappinps in Hausdorff Locally Convex Spaces and Its Applications[J]. Applied Mathematics and Mechanics, 1987, 8(3): 207-214.

Fixed Point Index of Ultimately Compact Set-Valued Mappinps in Hausdorff Locally Convex Spaces and Its Applications

  • Received Date: 1986-06-10
  • Publish Date: 1987-03-15
  • The author defines a concept of fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces. Using this concept, the author establishes several nonzero fixed point theorems of set-valued Φ-condensing mappings. These theorems extend some known results in [1,2,7,8,9].
  • loading
  • [1]
    Fizpatrick, P.M.and W.V.Petryshyn, Fixed point theorems and the fixed point index for multivalued mappings in cones, J London Math.Soc., 12 (1975), 75-85.
    [2]
    Petryshyn, W.V.and P.M.Fizpatrick, A degree theory, fixed point theroems, and mapping theorem for multivalued noncompact mappings, Trans.Amer.Math.Soc., 194 (1974), 1-25.
    [3]
    Duc, D.M.D.D.Thanh and D.D.Ang, Relative topological degree of set-valued compact vector fields and its applications, J.Math.Anal.appl., 80 (1981), 406-432.
    [4]
    Sadovskii, B.N., Measures of noncompactness and condensing operators, Prob.Mat.Anal.Sloz Sistem, 2(1968), 89-119.
    [5]
    Schaefer, H.H., Topological Vector Spaces, Springer-Verlag, New York, Fourth, Corrected Printing (1980).
    [6]
    Ma, T.W., Topological degrees for set-valued compact vector fields in locally convex spaces, Dissertationes Math., 92 (1972), 1-43.
    [7]
    郭大钧,关于锥映象的几个不动点定理,科学通报,28, 20 (1983),1217-1219
    [8]
    Gatica, J.A.and H.L.Smith, Fixed point techniques in cone with applications, J.Math.Anal.Appl., 61(1977), 58-71.
    [9]
    Leggett, R.W.and L.A.Williams, A fixed point theorem with application to an infectious disease model, J.Math.Anal.Appl., 76 (1980), 91-97.
  • 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 (1967) PDF downloads(437) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return