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Abstract and Applied Analysis
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https://dx.doi.org/10.1155/201...
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A New Iterative Scheme of Modified Mann Iteration in Banach Space

A new iterative scheme of modified Mann iteration in Banach space
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,014, pages 1-9 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Jinzuo Chen; Dingping Wu; Caifen Zhang;

doi: 10.1155/2014/264909

A New Iterative Scheme of Modified Mann Iteration in Banach Space

Abstract

We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space. We study approximation of common fixed point of asymptotically nonexpansive mappings in Banach space by using a new iterative scheme. Applications to the accretive operators are also included.

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Keywords

asymptotically nonexpansive mappings, accretive operators, modified iterations of Mann-type, strong convergence, Iterative procedures involving nonlinear operators, uniformly convex Banach space, QA1-939, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Nonlinear accretive operators, dissipative operators, etc., Mathematics

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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!
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