Convergence of a modified Halpern-type iteration algorithm for quasi- ϕ -nonexpansive mappings

The purpose of this work is to modify the Halpern-type iteration algorithm to have strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this work improve on the corresponding ones announced by many others.

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Bibliographic Details
Published in:	Applied mathematics letters Vol. 22; no. 7; pp. 1051 - 1055
Main Authors:	Qin, Xiaolong, Cho, Yeol Je, Kang, Shin Min, Zhou, Haiyun
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier Ltd 01.07.2009 Elsevier
Subjects:	Banach space Exact sciences and technology Functional analysis Hybrid algorithm Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Projection Sciences and techniques of general use Strong convergence Projection Strong convergence Banach space Hybrid algorithm Applied mathematics Iteration Algorithm
ISSN:	0893-9659, 1873-5452
Online Access:	Get full text
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Description
Summary:	The purpose of this work is to modify the Halpern-type iteration algorithm to have strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this work improve on the corresponding ones announced by many others.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2009.01.015