Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1713910 | Nonlinear Analysis: Hybrid Systems | 2009 | 13 Pages |
Abstract
In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a family of infinitely nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality for α-inverse-strongly monotone mapping in the framework of a Hilbert space. Under suitable conditions, some strong convergence theorems for approximating a common element of the above three sets are obtained. Additionally, we utilize our results to study the optimization problem and find a zero of a maximal monotone operator and a strictly pseudocontractive mapping in a real Hilbert space. Our results improve and extend the results announced by many others.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Gang Cai, Chang song Hu,