Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems
Joint Authors
Kumam, Poom
Jitpeera, Thanyarat
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-05
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We introduce a new general hybrid iterative algorithm for finding a common element of the set of solution of fixed point for a nonexpansive mapping, the set of solution of generalized mixed equilibrium problem, and the set of solution 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), Yao and Liou (2010), Tan and Chang (2011), and other authors.
American Psychological Association (APA)
Jitpeera, Thanyarat& Kumam, Poom. 2011. Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-488051
Modern Language Association (MLA)
Jitpeera, Thanyarat& Kumam, Poom. Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems. Mathematical Problems in Engineering No. 2011 (2011), pp.1-25.
https://search.emarefa.net/detail/BIM-488051
American Medical Association (AMA)
Jitpeera, Thanyarat& Kumam, Poom. Hybrid Algorithms for Minimization Problems over the Solutions of Generalized Mixed Equilibrium and Variational Inclusion Problems. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-488051
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488051