A new computational technique for common solutions between systems of generalized mixed equilibrium and fixed point problems

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Sunthrayuth P., Kumam P.

Publisher: Hindawi

Publication year: 2013

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

Volume number: 2013

ISSN: 1110-757X

eISSN: 1687-0042

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84878058845&doi=10.1155%2f2013%2f230392&partnerID=40&md5=3f0924e1942e9075852b0a1ff4d37863

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce a new iterative algorithm for finding a common element of a fixed point problem of amenable semigroups of nonexpansive mappings, the set solutions of a system of a general system of generalized equilibria in a real Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common element of the above three sets under some suitable conditions. As applications, at the end of the paper, we apply our results to find the minimum-norm solutions which solve some quadratic minimization problems. The results obtained in this paper extend and improve many recent ones announced by many others. ฉ 2013 Pongsakorn Sunthrayuth and Poom Kumam.

Keywords