A new explicit triple hierarchical problem over the set of fixed points and generalized mixed equilibrium problems

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Publication Details

Author list: Jitpeera T., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2012

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84865036879&doi=10.1186%2f1029-242X-2012-82&partnerID=40&md5=c87fe519615837abb9a082904d7e03a7

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we introduce and consider the triple hierarchical over the fixed point set of a nonexpansive mapping and the generalized mixed equilibrium problem set of an inverse-strongly monotone napping. The strong convergence of the algorithm is proved under some mild conditions. Our results generalize and improve the results of Marino and Xu and some authors. ฉ 2012 Jitpeera and Kumam.

Keywords

Hierarchical problem, Projection, Strong converge