Strong Convergence of an Iterative Algorithm for Hierarchical Problems

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam P., Jitpeera T.

Publisher: Hindawi

Publication year: 2014

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2014

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84934948335&doi=10.1155%2f2014%2f678147&partnerID=40&md5=ce8fb9557982de12aba916db1bd90a90

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce the triple hierarchical problem over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is proved under some mild conditions. Our results extend those of Yao et al., Iiduka, Ceng et al., and other authors. ฉ 2014 Poom Kumam and Thanyarat Jitpeera.

Keywords