A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities
Joint Authors
Jitpeera, Thanyarat
Kumam, Poom
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-13
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We introduce a new general iterative method for finding a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solution of generalized mixed equilibrium problems, and the set of solutions of the variational inclusion for a β-inverse-strongly monotone mapping in a real Hilbert space.
We prove that the sequence converges strongly to a common element of the above three sets under some mild conditions.
Our results improve and extend the corresponding results of Marino and Xu (2006), Su et al.
(2008), Klin-eam and Suantai (2009), Tan and Chang (2011), and some other authors.
American Psychological Association (APA)
Jitpeera, Thanyarat& Kumam, Poom. 2011. A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-485718
Modern Language Association (MLA)
Jitpeera, Thanyarat& Kumam, Poom. A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-25.
https://search.emarefa.net/detail/BIM-485718
American Medical Association (AMA)
Jitpeera, Thanyarat& Kumam, Poom. A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-485718
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485718