Hybrid Extragradient Iterative Algorithms for Variational Inequalities, Variational Inclusions, and Fixed-Point Problems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-32, 32 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-31
Country of Publication
Egypt
No. of Pages
32
Main Subjects
Abstract EN
We investigate the problem of finding a common solution of a general system of variational inequalities, a variational inclusion, and a fixed-point problem of a strictly pseudocontractive mapping in a real Hilbert space.
Motivated by Nadezhkina and Takahashi's hybrid-extragradient method, we propose and analyze new hybrid-extragradient iterative algorithm for finding a common solution.
It is proven that three sequences generated by this algorithm converge strongly to the same common solution under very mild conditions.
Based on this result, we also construct an iterative algorithm for finding a common fixed point of three mappings, such that one of these mappings is nonexpansive, and the other two mappings are strictly pseudocontractive mappings.
American Psychological Association (APA)
Ceng, Lu-Chuan& Wen, Ching-Feng. 2012. Hybrid Extragradient Iterative Algorithms for Variational Inequalities, Variational Inclusions, and Fixed-Point Problems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-32.
https://search.emarefa.net/detail/BIM-993848
Modern Language Association (MLA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Hybrid Extragradient Iterative Algorithms for Variational Inequalities, Variational Inclusions, and Fixed-Point Problems. Journal of Applied Mathematics No. 2012 (2012), pp.1-32.
https://search.emarefa.net/detail/BIM-993848
American Medical Association (AMA)
Ceng, Lu-Chuan& Wen, Ching-Feng. Hybrid Extragradient Iterative Algorithms for Variational Inequalities, Variational Inclusions, and Fixed-Point Problems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-32.
https://search.emarefa.net/detail/BIM-993848
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993848