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Proceedings of the American Mathematical Society
Article
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Proceedings of the American Mathematical Society
Article . 2000 . Peer-reviewed
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Article . 2001
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https://dx.doi.org/10.1090/s00...
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https://dx.doi.org/10.1090/s00...
Other literature type
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Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 08 Nov 2000 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 129, pages 845-853 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Chang, S. S.;

doi: 10.1090/s0002-9939-00-05988-8

Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings

Abstract

Some convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudo-contractive and asymptotically nonexpansive mappings in Banach space are obtained. The results presented in this paper improve and extend the corresponding results in Goebel and Kirk (1972), Kirk (1965), Liu (1996), Schu (1991) and Chang et al. (to appear).

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Keywords

asymptotically nonexpansive mapping, Fixed-point theorems, modified Mann iterative sequence with error, Iterative procedures involving nonlinear operators, modified Isikawa iterative sequence with errors, fixed point, Ishikawa and Mann iterative sequence with errors, asymptotically nonexpansive, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., normalized duality mapping, asymptotically pseudo-contractive, Monotone operators and generalizations, asymptotically pseudo-contractive mapping

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
36
Average
Top 10%
Average
bronze