Strong convergence theorems for countable families of uniformly quasi-๘-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems

Journal article

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POOM KUMAM

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Publication Details

Author list: Saewan S., Kumam P.

Publisher: Hindawi

Publication year: 2011

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2011

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-80053556129&doi=10.1155%2f2011%2f701675&partnerID=40&md5=dee7429561fe1592bf32317203bab41c

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this paper is to present a new hybrid block iterative scheme by the generalized f- projection method for finding a common element of the fixed point set for a countable family of uniformly quasi-๘- asymptotically nonexpansive mappings and the set of solutions of the system of generalized mixed equilibrium problems in a strictly convex and uniformly smooth Banach space with the Kadec-Klee property. Furthermore, we prove that our new iterative scheme converges strongly to a common element of the aforementioned sets. The results presented in this paper improve and extend important recent results in the literature. ฉ 2011 S. Saewan and P. Kumam.

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