Hybrid projection algorithm for two countable families of hemirelatively nonexpansive mappings and applications

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Wang Z.-M., Kumam P.

Publisher: Hindawi

Publication year: 2013

Journal: Journal of Applied Mathematics (1110-757X)

Volume number: 2013

ISSN: 1110-757X

eISSN: 1687-0042

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84886555205&doi=10.1155%2f2013%2f524795&partnerID=40&md5=d745159364ee597723c9d1c6583cc918

Languages: English-Great Britain (EN-GB)

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Abstract

Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. As applications, convex feasibility problems, equilibrium problems, variational inequality problems, and zeros of maximal monotone operators are studied. ฉ 2013 Zi-Ming Wang and Poom Kumam.

Keywords