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Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities
Joint Authors
Kong, Zhao-Rong
Pang, Chin-Tzong
Ceng, Lu-Chuan
Ansari, Qamrul Hasan
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-17
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set of a strict pseudocontractive mapping and the solution set of the classical variational inequality problem.
Moreover, we propose a multistep hybrid extragradient method to compute the approximate solutions of the THVIP and present the convergence analysis of the sequence generated by the proposed method.
We also derive a solution method for solving a system of hierarchical variational inequalities (SHVI), that is, a system of variational inequalities defined over the intersection of the fixed point set of a strict pseudocontractive mapping and the solution set of the classical variational inequality problem.
Under very mild conditions, it is proven that the sequence generated by the proposed method converges strongly to a unique solution of the SHVI.
American Psychological Association (APA)
Kong, Zhao-Rong& Ceng, Lu-Chuan& Ansari, Qamrul Hasan& Pang, Chin-Tzong. 2013. Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-493089
Modern Language Association (MLA)
Kong, Zhao-Rong…[et al.]. Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities. Abstract and Applied Analysis No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-493089
American Medical Association (AMA)
Kong, Zhao-Rong& Ceng, Lu-Chuan& Ansari, Qamrul Hasan& Pang, Chin-Tzong. Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-493089
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493089