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Zbl 0927.47035
Chidume, C.E.
Convergence theorems for strongly pseudo-contractive and strongly accretive maps.
(English)
[J] J. Math. Anal. Appl. 228, No.1, 254-264 (1998). ISSN 0022-247X

The author proves some sufficient conditions in order that an iteration process converges strongly to the unique solution of an abstract equation governed by:\par (1) a uniformly continuous strong pseudo-contraction,\par (2) a uniformly continuous strongly accretive operator;\par (3) a uniformly continuous accretive operator.
[I.Vrabie (Iaşi)]
MSC 2000:
*47H06 Accretive operators, etc. (nonlinear)
47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
65J15 Equations with nonlinear operators (numerical methods)

Keywords: iteration process; uniformly continuous strong pseudo-contraction; strongly accretive operator

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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