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Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems
Joint Authors
Yao, Jen-Chih
Petrusel, Adrian
Ceng, Lu-Chuan
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-17
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We suggest and analyze relaxed extragradient iterative algorithms with regularization for finding a common element of the solution set of a general system of variational inequalities, the solution set of a split feasibility problem, and the fixed point set of a strictly pseudocontractive mapping defined on a real Hilbert space.
Here the relaxed extragradient methods with regularization are based on the well-known successive approximation method, extragradient method, viscosity approximation method, regularization method, and so on.
Strong convergence of the proposed algorithms under some mild conditions is established.
Our results represent the supplementation, improvement, extension, and development of the corresponding results in the very recent literature.
American Psychological Association (APA)
Ceng, Lu-Chuan& Petrusel, Adrian& Yao, Jen-Chih. 2013. Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-25.
https://search.emarefa.net/detail/BIM-505807
Modern Language Association (MLA)
Ceng, Lu-Chuan…[et al.]. Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-25.
https://search.emarefa.net/detail/BIM-505807
American Medical Association (AMA)
Ceng, Lu-Chuan& Petrusel, Adrian& Yao, Jen-Chih. Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-25.
https://search.emarefa.net/detail/BIM-505807
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505807