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Convergence theorem of common fixed points for a family of nonspreading mappings in Hilbert space

Author(s)
Kangtunyakarn, Atid
Date Issued
June 1, 2012
Type
Article
DOI
10.1007/s11590-011-0326-y
Abstract
We introduce the concept of K-mapping of a finite family of nonspreading mappings {T i} N i=1 and we show that the fixed point set of the K-mapping is the set of common fixed points of {T i} N i=1. Moreover, we prove strong convergence theorem of the Ishikawa iterative process to a common fixed point of a finite family of nonspreading mappings in Hilbert space under certain control conditions. © 2011 Springer-Verlag.
Citation
Optimization Letters, 6(5), 957-961, 2012
Subjects

K-mapping

Nonspreading mapping

Quasi-nonexpansive ma...

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