A new hybrid general iterative algorithm for common solutions of generalized mixed equilibrium problems and variational inclusions
Journal article
Authors/Editors
Strategic Research Themes
No matching items found.
Publication Details
Author list: Wattanawitoon K., Jitpeera T., Kumam P.
Publisher: SpringerOpen
Publication year: 2012
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2012
ISSN: 1025-5834
eISSN: 1029-242X
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
Abstract
In this article, we introduce a new general iterative method for finding a common element of the set of solutions generalized for mixed equilibrium problems, the set of solution for fixed point for nonexpansive mappings and the set of solutions for the variational inclusions for β1, β2-inverse-strongly monotone mappings in a real Hilbert space. We prove that the sequence converges strongly to a common element of the above sets under some suitable conditions. Our results improve and extend the corresponding results of Marino and Xu, Su et al., Tan and Chang and some authors. © 2012 Wattanawitoon et al; licensee Springer.
Keywords
Generalized mixed equilibrium problem, Inverse-strongly monotone mapping, Nonexpansive mapping, Variational inclusion
Contact Information