Viscosity approximation method for system of variational inclusions problems and fixed-point problems of a countable family of nonexpansive mappings

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Jaiboon C., 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-s2.0-84862293197&doi=10.1155%2f2012%2f816529&partnerID=40&md5=fe684f482e1b7409750e85f7e7a3d2ed

Languages: English-Great Britain (EN-GB)

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Abstract

We propose new iterative schemes for finding the common element of the set of common fixed points of countable family of nonexpansive mappings, the set of solutions of the variational inequality problem for relaxed cocoercive and Lipschitz continuous, the set of solutions of system of variational inclusions problem, and the set of solutions of equilibrium problems in a real Hilbert space by using the viscosity approximation method. We prove strong convergence theorem under some parameters. The results in this paper unify and generalize some well-known results in the literature. ฉ 2012 Chaichana Jaiboon and Poom Kumam.

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