Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-φ-asymptotically nonexpansive mappings

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam P., Saewan S.

Publisher: Hindawi

Publication year: 2010

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2010

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-77956786833&doi=10.1155%2f2010%2f357120&partnerID=40&md5=d57576597f11763363927bc15352b4d8

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce a modified block hybrid projection algorithm for solving the convex feasibility problems for an infinite family of closed and uniformly quasi-φ-asymptotically nonexpansive mappings and the set of solutions of the generalized equilibrium problems. We obtain a strong convergence theorem for the sequences generated by this process in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in this paper improve and extend some recent results. Copyright © 2010 Siwaporn Saewan and Poom Kumam.

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