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局部Lipschitz方程解的叠代逼近

邹保康

邹保康. 局部Lipschitz方程解的叠代逼近[J]. 应用数学和力学, 1991, 12(4): 385-389.
引用本文: 邹保康. 局部Lipschitz方程解的叠代逼近[J]. 应用数学和力学, 1991, 12(4): 385-389.
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.

局部Lipschitz方程解的叠代逼近

Iterative Approximation of the Solution of a Locally Lipschitzian Equation

  • 摘要:X=Lplp(p≥2),T:D(T)→X是局部Lipschitz和严格增殖算子.本文给出非线性方程Tx=y的解的叠代逼近并讨论了局部Lipschitz和严格伪收缩映射不动点的叠代逼近.
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    [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.
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出版历程
  • 收稿日期:  1989-10-27
  • 刊出日期:  1991-04-15

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