Iterative Process for Lipschitz Local Strictly Pseudocontractive Mappings

Deng Lei; Ding Xie-ping

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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.

Citation:

Deng Lei, Ding Xie-ping. Iterative Process for Lipschitz Local Strictly Pseudocontractive Mappings[J]. Applied Mathematics and Mechanics, 1994, 15(2): 115-119.

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Iterative Process for Lipschitz Local Strictly Pseudocontractive Mappings

Deng Lei¹,
Ding Xie-ping²

1.
Chongqing Teachers College, Yongchuan, Chongqing;
2.
Sichuan Normal University, Chengdu

Received Date: 1992-10-08
Publish Date: 1994-02-15

Abstract

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 canverges strongly to a solution of the equation TX-f when T is Lipschitzian and local strongly accretive in X.
- local strictly pseudocontractive,
- local strongly accretive,
- uniformly smooth Banach space

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References(8)

References

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