A New Hybrid Algorithm and Its Numerical Realization for a Quasi-nonexpansive Mapping

A New Hybrid Algorithm and Its Numerical Realization for a Quasi-nonexpansive Mapping

The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also included to explain the effectiveness of the proposed methods. The results of this paper...

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Veröffentlicht in:数学研究通讯 2017, Vol.33 (4), p.340-346
Hauptverfasser: Gao Xing-hui, Ma Le-rong
Format: Artikel
Sprache:eng
Schlagworte:
algorithm
convergence
Hilbert
hybrid
mapping
quasi-nonexpansive
space
strong
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Zusammenfassung:The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also included to explain the effectiveness of the proposed methods. The results of this paper are interesting extensions of those known results.
ISSN:1674-5647
DOI:10.13447/j.1674-5647.2017.04.06