Some Existence and Convergence Theorems for Solving a System of Hierarchical Optimization Problems

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Publication Details

Author list: Wairojjana N., Kumam P.

Publisher: Springer

Publication year: 2016

Journal: Computational Mathematics and Modeling (1046-283X)

Volume number: 27

Issue number: 2

Start page: 228

End page: 246

Number of pages: 19

ISSN: 1046-283X

eISSN: 1573-837X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84958258372&doi=10.1007%2fs10598-016-9317-2&partnerID=40&md5=8b4f812a140ea27a0fcce4b5fee94039

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we prove the existence and convergence theorems of the solution for a system of hierarchical variational inequality problem in Hilbert spaces. In this paper, we use Maingé’s approach for finding a solution of the system of hierarchical variational inequality problems. Our result in this article improves, extends, and generalizes some well-known corresponding results in the literature. © 2016, Springer Science+Business Media New York.

Keywords

Hierarchical optimization problems, hierarchical variational inclusion problem