Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 2012; 49(1): 187-200
Printed January 1, 2012
https://doi.org/10.4134/JKMS.2012.49.1.187
Copyright © The Korean Mathematical Society.
Strong convergence of an extended extragradient method for equilibrium problems and fixed point problems
Jong Kyu Kim, Pham Ngoc Anh, and Young Man Nam
Kyungnam University, Posts and Telecommunications Institute of Technology, Kyungnam University
In this paper, we introduced a new extended extragradient iteration algorithm for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a monotone and Lipschitz-type continuous mapping. And we show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.
Keywords: equilibrium problems, monotone mapping, Lipschitz-type continuous, strong convergence, extragradient algorithm, nonexpansive mapping
MSC numbers: 65K10, 90C25
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
Strong convergence theorems for infinite countable nonexpansive mappings and image recovery problem
2008; 45(6): 1591-1600
-
Regularization for the problem of finding a solution of a system of nonlinear monotone ill-posed equations in Banach spaces
2018; 55(4): 849-875
-
Strong convergence of general iterative algorithms for nonexpansive mappings in Banach spaces
2017; 54(3): 1031-1047
-
A fixed point theorem revisited
1997; 34(2): 285-291
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd