Title of article
Weak Convergence Theorem by an Extragradient Method for Variational Inequality, Equilibrium and Fixed Point Problems
Author/Authors
Jaiboon, C. King Mongkut’s University of Technology Thonburi - Faculty of Science - Department of Mathematics, Thailand , Kumam, P. King Mongkut’s University of Technology Thonburi - Faculty of Science - Department of Mathematics, Thailand , Humphries, U. W. King Mongkut’s University of Technology Thonburi - Faculty of Science - Department of Mathematics, Thailand
From page
173
To page
185
Abstract
In this paper, we introduce a new iterative scheme for finding the common element of the set of: fixed points; equilibrium; and the variational inequality problems for monotone and k-Lipschitz continuous mappings. The iterative process is based on the so-called extragradient method. We show that the sequence converges weakly to a common element of the above three sets under some parameter controlling conditions. This main theorem extends a recent result of Nadezhkiha and Takahashi [7].
Keywords
Extragradient method , nonexpansive mapping , k , Lipschitz continuous mapping , variational inequality problem , equilibrium problem , fixed points.
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2549769
Link To Document