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 2009-07, Vol.22 (7), p.1051-1055
Main Authors: Qin, Xiaolong, Cho, Yeol Je, Kang, Shin Min, Zhou, Haiyun
Format: Article
Language:English
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
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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