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Zbl 0828.47042
Deng, Lei
Iteration processes for nonlinear Lipschitzian strongly accretive mappings in $L\sb p$ spaces.
(English)
[J] J. Math. Anal. Appl. 188, No.1, 128-140 (1994). ISSN 0022-247X

Let $T : L_p \to L_p$ $(1 < p \leq 2)$ be a strongly accretive (with constant $k$) and Lipschitz (with constant $L$) map, and let $p(p - 1)$ $L^2 < p - 2 (p - 1) (1-k)$. The author gives a (quite technical) definition of a sequence $(x_n)_n$ converging to the solution of $Tx = f$, $f \in L_p$.
[J.Appell (Würzburg)]
MSC 2000:
*47H06 Accretive operators, etc. (nonlinear)

Keywords: strongly accretive; Lipschitz

Cited in: Zbl 1026.47510

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