An explicit algorithm for solving the optimize hierarchical problems

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Kumam P., Jitpeera T., Yarangkham W.

Publisher: SpringerOpen

Publication year: 2014

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

Volume number: 2014

Issue number: 1

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84934952560&doi=10.1186%2f1029-242X-2014-405&partnerID=40&md5=48839114e82a64aebeb50bac14a0c6c4

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we consider the variational inequality problem over the generalized mixed equilibrium problem which has a hierarchical structure. Strong convergence of the algorithm to the unique solution is guaranteed under some assumptions. MSC: 47H09, 47H10, 47J20, 49J40, 65J15. ฉ 2014, Kumam et al.; licensee Springer.

Keywords

Hierarchical problem, Nonexpansive, Strong convergence, Variational inequality