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Zbl 0784.47051
Deng, Lei
(Lei, Deng; Lei Deng)
On Chidume's open questions.
(English)
[J] J. Math. Anal. Appl. 174, No.2, 441-449 (1993). ISSN 0022-247X

Let $X= L\sb p$ $(p\ge 2)$ and let $T: X\to X$ be a Lipschitzian strongly accretive map. The author proves that certain Ishikawa iteration process converges strongly to the unique solution of the equation $Tx= f$.
[V.Mustonen (Oulu)]
MSC 2000:
*47J25 Methods for solving nonlinear operator equations (general)
47H06 Accretive operators, etc. (nonlinear)

Keywords: Lipschitzian strongly accretive map; Ishikawa iteration process converges strongly to the unique solution

Cited in: Zbl 1026.47510 Zbl 0963.47037

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