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Zbl 1088.47510
Osilike, M.O.; Akuchu, B.G.
Common fixed points of a finite family of asymptotically pseudocontractive maps.
(English)
[J] Fixed Point Theory Appl. 2004, No. 2, 81-88 (2004). ISSN 1687-1812/e

Convergence theorems for the approximation of common fixed points of a finite family of asymptotically pseudocontractive mappings are proved in Banach spaces, using an averaging implicit iteration process.
[Salvatore Sessa (Napoli)]
MSC 2000:
*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
47J05 Equations involving nonlinear operators (general)
65J15 Equations with nonlinear operators (numerical methods)

Keywords: asymptotically pseudocontractive mapping; common fixed point

Cited in: Zbl 1236.47070 Zbl 1215.47070 Zbl 1129.47052

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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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