An iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems
In this paper, we consider a general composite iterative algorithm for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality problem f...
Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Bài viết |
| Ngôn ngữ: | English |
| Được phát hành: |
Trường Đại học Đà Lạt
2012
|
| Những chủ đề: | |
| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31071 |
| Các nhãn: |
Thêm thẻ
Không có thẻ, Là người đầu tiên thẻ bản ghi này!
|
| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
|---|
| Tóm tắt: | In this paper, we consider a general composite iterative algorithm for
finding a common element of the set of solutions of a generalized mixed equilibrium
problem, the set of fixed points of an infinite family of nonexpansive mappings and the
set of solutions of a variational inequality problem for an inverse-strongly monotone
mapping in Hilbert spaces. It is shown that the sequence generated by the proposed
iterative scheme converges strongly to a common element of the above three sets
under suitable control conditions, which solves a certain optimization problem. The
results of this article substantially improve, develop, and complement the previous
well-known results in this area. |
|---|