Iterative algorithms for solving the system of mixed equilibrium problems, fixed-point problems, and variational inclusions with application to minimization problem

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Chamnarnpan T., 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-s2.0-84859780636&doi=10.1155%2f2012%2f538912&partnerID=40&md5=7110938c3b688c0a86522cad2a4ce981

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce a new iterative algorithm for solving a common solution of the set of solutions of fixed point for an infinite family of nonexpansive mappings, the set of solution of a system of mixed equilibrium problems, and the set of solutions of the variational inclusion for a -inverse-strongly monotone mapping in a real Hilbert space. We prove that the sequence converges strongly to a common element of the above three sets under some mild conditions. Furthermore, we give a numerical example which supports our main theorem in the last part. Copyright ฉ 2012 Tanom Chamnarnpan and Poom Kumam.

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