![](/images/graphics-bg.png)
Hybrid Steepest-Descent Methods for Triple Hierarchical Variational Inequalities
Joint Authors
Al-Mazrooei, A. E.
Latif, Abdul
Ceng, Lu-Chuan
Wen, Ching-Feng
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-19
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We introduce and analyze a relaxed iterative algorithm by combining Korpelevich’s extragradient method, hybrid steepest-descent method, and Mann’s iteration method.
We prove that, under appropriate assumptions, the proposed algorithm converges strongly to a common element of the fixed point set of infinitely many nonexpansive mappings, the solution set of finitely many generalized mixed equilibrium problems (GMEPs), the solution set of finitely many variational inclusions, and the solution set of general system of variational inequalities (GSVI), which is just a unique solution of a triple hierarchical variational inequality (THVI) in a real Hilbert space.
In addition, we also consider the application of the proposed algorithm for solving a hierarchical variational inequality problem with constraints of finitely many GMEPs, finitely many variational inclusions, and the GSVI.
The results obtained in this paper improve and extend the corresponding results announced by many others.
American Psychological Association (APA)
Ceng, Lu-Chuan& Latif, Abdul& Wen, Ching-Feng& Al-Mazrooei, A. E.. 2015. Hybrid Steepest-Descent Methods for Triple Hierarchical Variational Inequalities. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-22.
https://search.emarefa.net/detail/BIM-1068353
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Hybrid Steepest-Descent Methods for Triple Hierarchical Variational Inequalities. Journal of Function Spaces No. 2015 (2015), pp.1-22.
https://search.emarefa.net/detail/BIM-1068353
American Medical Association (AMA)
Ceng, Lu-Chuan& Latif, Abdul& Wen, Ching-Feng& Al-Mazrooei, A. E.. Hybrid Steepest-Descent Methods for Triple Hierarchical Variational Inequalities. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-22.
https://search.emarefa.net/detail/BIM-1068353
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068353