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Lipschitz局部严格伪压缩映象的迭代逼近*

邓磊 丁协平

邓磊, 丁协平. Lipschitz局部严格伪压缩映象的迭代逼近*[J]. 应用数学和力学, 1994, 15(2): 115-119.
引用本文: 邓磊, 丁协平. Lipschitz局部严格伪压缩映象的迭代逼近*[J]. 应用数学和力学, 1994, 15(2): 115-119.
Deng Lei, Ding Xie-ping. Iterative Process for Lipschitz Local Strictly Pseudocontractive Mappings[J]. Applied Mathematics and Mechanics, 1994, 15(2): 115-119.
Citation: Deng Lei, Ding Xie-ping. Iterative Process for Lipschitz Local Strictly Pseudocontractive Mappings[J]. Applied Mathematics and Mechanics, 1994, 15(2): 115-119.

Lipschitz局部严格伪压缩映象的迭代逼近*

基金项目: * 国家自然科学基金

Iterative Process for Lipschitz Local Strictly Pseudocontractive Mappings

  • 摘要: 设K是一致光滑Banach空间K的非空子集,T:K→X是Lipschitz局部严格伪压缩映象。本文给出一个迭代序列强收敛到T的唯一不动点,并给出一个涉及Lipschitz局部强增殖映象T的非线性方程Tx=f的解的迭代逼近。
  • [1] Chidume, C.E,Iterative approxim at ion of fined points of Lipschitzian strictly pseudocontractive mappings, Proc, Amer, Math, Soc,99(2)(1987).283-288.
    [2] Deng, L, and X, P, Ding, Iterative approximation of Lipschitz strictly pseudo-contractive mappings in uniformly smooth Banach spaces,(submitted)
    [3] Ishikawa, S.,Fixed points by a new iteration method,Proc, Amer, Math,Soc.,44(1974).147-150.
    [4] Kato, T,Nonlinear semigroups and evolution equations, J.Math, Soc,Japan, 19(1967),508-520.
    [5] Lindenstrauss, J, and L, Tsafriri, Classical Banach Spaces, I,Springer-Yerlag, New York/Berlin(1979).
    [6] Reich, S,An iterative proved ure for constructing zeros of accretive sets in Banach spaces, J, Nonlinear Anal.,(2)(1978),85-92.
    [7] Weng, X,Fixed point iteration for local strictly pseudo-contractive mapping,Proc, Amer, Math, Soc,113(1991), 727-731.
    [8] Xu, Z.B, and G, F, Roach, Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces, J, Math, Anal, Appl.,167 (1991), 189-210.
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出版历程
  • 收稿日期:  1992-10-08
  • 刊出日期:  1994-02-15

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