Zou Bao-kang. Iterative Approximation of the Solution of a Locally Lipschitzian Equation[J]. Applied Mathematics and Mechanics, 1991, 12(4): 385-389.
Citation: Zou Bao-kang. Iterative Approximation of the Solution of a Locally Lipschitzian Equation[J]. Applied Mathematics and Mechanics, 1991, 12(4): 385-389.

Iterative Approximation of the Solution of a Locally Lipschitzian Equation

  • Received Date: 1989-10-27
  • Publish Date: 1991-04-15
  • Suppose X=Lp(or lp),p>2,T:D(T)→X is a locally Lipschitzian and strictly accretive operator.In this paper,the iterative approximation of the solution of nonlinear equation Tx=y is given and the iterative approximation of a fixed point of a locally Lipschitzian and strictly pseudo-contractive mapping is discussed.
  • loading
  • [1]
    Browder,F.E.,Nonlinear mapping of nonexpansive and accretive type in Banach space,Bull.Amer.Math.Soc.,73(1967),875-882.
    [2]
    Bynum,W.L.,Weak parallelogram laws for Banach spaces,Canad Math.Bull.,19(1976).269-275.
    [3]
    Chidume,C.E.,Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mapping,Pro.Amer.Math.Soc.,99,2(1987),283-288.
    [4]
    Kato,T.,Nonlinear semigroups and evolution equation,J.Math.Soc.Japan,19(1967),508-520.
    [5]
    Morales,C.,Pseudo-contractive mappings and Leray Schauder boundary conditions,Comment.Math.Univ.Carolina,20,4(1979),745-756.
    [6]
    Patter,W.M.,Iterative methods for the solution of a linear operator equation in Hilbert space,A survey,Lecture Notes in Mathematics,Springer-Verlag,Berlin,Heidelberg,New-York(1974).
    [7]
    Rhoades,B.E.,Fixed point interation using infinite matrices,Tran.Amer.Math.Soc.,196(1974),161-178.
    [8]
    Rockafellar,R.T.,Local boundness of nonlinear monotone operator,Michigan Math.J.,16(1969),397-407.
  • 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 (2083) PDF downloads(540) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return