Implicit Iterative Method for Hierarchical Variational Inequalities
Joint Authors
Yao, Jen-Chih
Ceng, Lu-Chuan
Wong, Ngai-Ching
Ansari, Qamrul Hasan
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We introduce a new implicit iterative scheme with perturbation for finding the approximate solutions of a hierarchical variational inequality, that is, a variational inequality over the common fixed point set of a finite family of nonexpansive mappings.
We establish some convergence theorems for the sequence generated by the proposed implicit iterative scheme.
In particular, necessary and sufficient conditions for the strong convergence of the sequence are obtained.
American Psychological Association (APA)
Ceng, Lu-Chuan& Ansari, Qamrul Hasan& Wong, Ngai-Ching& Yao, Jen-Chih. 2012. Implicit Iterative Method for Hierarchical Variational Inequalities. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993283
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Implicit Iterative Method for Hierarchical Variational Inequalities. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993283
American Medical Association (AMA)
Ceng, Lu-Chuan& Ansari, Qamrul Hasan& Wong, Ngai-Ching& Yao, Jen-Chih. Implicit Iterative Method for Hierarchical Variational Inequalities. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993283
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993283
