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Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (2): 119-123.

• 论文 • 上一篇    下一篇

ITERATIVE PROCESS FOR LIPSCHITZ LOCAL STRICTLY PSEUDOCONTRACTIVE MAPPINGS

邓磊1, 丁协平2   

  1. 1. Chongqing Teacher’s College, Yongchuan, Chongqing;
    2. Sichuan Normal University, Chengdu
  • 收稿日期:1992-10-08 出版日期:1994-02-18 发布日期:1994-02-18
  • 基金资助:

    Project supported by the National Natural Science Foundation of China

ITERATIVE PROCESS FOR LIPSCHITZ LOCAL STRICTLY PSEUDOCONTRACTIVE MAPPINGS

Deng Lei1, Ding Xie-ping2   

  1. 1. Chongqing Teacher’s College, Yongchuan, Chongqing;
    2. Sichuan Normal University, Chengdu
  • Received:1992-10-08 Online:1994-02-18 Published:1994-02-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

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摘要： Suppose that K is a non-empty subset of uniformly smooth Banach space X.Let T:K→X be a Lipschitz local strcily pseudocontractine mapping.In this paper.the iterative sequence which converges strongly to the unique fixed point of Tis given.A related result deals with the problem that the Ishikawa iteration process canvergesstrongly to a solution of the equation TX-f when T is Lipschitzian and local strongly accretive in X.

Abstract: Suppose that K is a non-empty subset of uniformly smooth Banach space X.Let T:K→X be a Lipschitz local strcily pseudocontractine mapping.In this paper.the iterative sequence which converges strongly to the unique fixed point of Tis given.A related result deals with the problem that the Ishikawa iteration process canvergesstrongly to a solution of the equation TX-f when T is Lipschitzian and local strongly accretive in X.

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