The modified block iterative algorithms for asymptotically relatively nonexpansive mappings and the system of generalized mixed equilibrium problems

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Wattanawitoon K., Kumam P.

Publisher: Hindawi

Publication year: 2012

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

Volume number: 2012

ISSN: 1110-757X

eISSN: 1687-0042

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84864919457&doi=10.1155%2f2012%2f395760&partnerID=40&md5=511b97a2e03452290c7fe48dd0fe41bb

Languages: English-Great Britain (EN-GB)

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Abstract

The propose of this paper is to present a modified block iterative algorithm for finding a common element between the set of solutions of the fixed points of two countable families of asymptotically relatively nonexpansive mappings and the set of solution of the system of generalized mixed equilibrium problems in a uniformly smooth and uniformly convex Banach space. Our results extend many known recent results in the literature. Copyright ฉ 2012 Kriengsak Wattanawitoon and Poom Kumam.

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