Hybrid Proximal-Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems
Joint Authors
Kumam, Poom
Wattanawitoon, Kriengsak
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-31, 31 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-17
Country of Publication
Egypt
No. of Pages
31
Main Subjects
Abstract EN
We prove strong and weak convergence theorems of modified hybrid proximal-point algorithms for finding a common element of the zero point of a maximal monotone operator, the set of solutions of equilibrium problems, and the set of solution of the variational inequality operators of an inverse strongly monotone in a Banach space under different conditions.
Moreover, applications to complementarity problems are given.
Our results modify and improve the recently announced ones by Li and Song (2008) and many authors.
American Psychological Association (APA)
Wattanawitoon, Kriengsak& Kumam, Poom. 2011. Hybrid Proximal-Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-31.
https://search.emarefa.net/detail/BIM-451875
Modern Language Association (MLA)
Wattanawitoon, Kriengsak& Kumam, Poom. Hybrid Proximal-Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-31.
https://search.emarefa.net/detail/BIM-451875
American Medical Association (AMA)
Wattanawitoon, Kriengsak& Kumam, Poom. Hybrid Proximal-Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-31.
https://search.emarefa.net/detail/BIM-451875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451875