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Iterative approximation of fixed points of asymptotically demicontractive mappings. (English) Zbl 0927.47039

Summary: It is proved that a recent theorem of Liu Qihou [Nonlinear Anal., Theory Methods Appl. 26, No. 11, 1835-1842 (1996; Zbl 0861.47047)] concerning the iterative approximation of fixed points of demicontractive mappings in Hilbert spaces can be extended to the much more general \(q\)-uniformly smooth Banach spaces, \(1<q<\infty\), and to a more general iteration method.

MSC:

47H10 Fixed-point theorems
47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Citations:

Zbl 0861.47047
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