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Zbl 1207.47052
Zhou, Haiyun
(Zhou, Hai-yun)
Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 9, A, 3140-3145 (2009). ISSN 0362-546X

Author's abstract: In the present paper, we establish a demiclosedness principle for asymptotically pseudo-contractions in Hilbert spaces. As applications, we obtain a new fixed point theorem as well as some weak and strong convergence theorems for asymptotically pseudo-contractions. The results of this paper are interesting extensions of known results.
[Stepan Agop Tersian (Rousse)]

MSC 2000:: *47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47J25 Methods for solving nonlinear operator equations (general)

Keywords: asymptotically pseudo-contraction; uniformly $L$-Lipschitz condition; uniformly asymptotic regularity; demiclosedness principle; fixed point theorem; convergence theorem

Cited in: Zbl 1201.47071

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