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Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces. (English) Zbl 1207.47052

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.

MSC:

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

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