Title
Hybrid Iterative Scheme by a Relaxed Extragradient Method for Equilibrium Problems, a General System of Variational Inequalities and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings.
Abstract
Based on the relaxed extragradient method and viscosity method, we introduce a new iterative method for finding a common element of solution of equilibrium problems, the solution set of a general system of variational inequalities, and the set of fixed points of a countable family of nonexpansive mappings in a real Hilbert space. Furthermore, we prove the strong convergence theorem of the studied iterative method. The results of this paper extend and improve the results of Ceng et al., (2008), W. Kumam and P. Kumam, (2009), Yao et al., (2010) and many others.
Year
DOI
Venue
2012
10.1155/2012/572326
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Convergence (routing),Hilbert space,Mathematical optimization,Countable set,Iterative method,Mathematical analysis,Solution set,Fixed point,Mathematics,Variational inequality
Journal
2012
Issue
ISSN
Citations 
null
1110-757X
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
Qiao-Li Dong14211.32
Yan-Ni Guo281.58
Su Fang3615.73