In
this paper we propose several modified hybrid projection methods for solving
common solutions to variational inequality problems involving monotone and
Lipschitz continuous operators.
Based
on differently constructed half-spaces, the proposed methods reduce the number
of projections onto feasible sets as well as the number of values of operators
needed to be computed.
Strong
convergence theorems are established under standard assumptions imposed on the
operators.
An
extension of the proposed algorithm to a system of generalized equilibrium problems
is considered and numerical experiments are also presented.
| Title: | Modified hybrid projection methods for finding common solutions to variational inequality problems |
| Authors: | Dang Van Hieu Pham Ky Anh Le Dung Muu |
| Keywords: | Variational inequality Equilibrium problem Generalized equilibrium problem Gradient method Extragradient method |
| Issue Date: | 2017 |
| Publisher: | SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA |
| Citation: | ISIKNOWLEDGE |
| Abstract: | In this paper we propose several modified hybrid projection methods for solving common solutions to variational inequality problemsinvolving monotone and Lipschitz continuous operators. Based on differently constructed half-spaces, the proposed methods reduce the number of projections onto feasible sets as well as the number of values of operators needed to be computed. Strong convergence theorems are established under standard assumptions imposed on the operators. An extension of the proposed algorithm to a systemof generalized equilibriumproblems is considered and numerical experiments are also presented. |
| Description: | TNS07031 ; COMPUTATIONAL OPTIMIZATION AND APPLICATIONS Volume: 66 Issue: 1 Pages: 75-96 Published: JAN 2017 |
| URI: | http://repository.vnu.edu.vn/handle/VNU_123/28885 http://link.springer.com/article/10.1007/s10589-016-9857-6 |
| ISSN: | 0926-6003 1573-2894 |
| Appears in Collections: | Bài báo của ĐHQGHN trong Web of Science |
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