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...
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| Ngôn ngữ: | English |
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Trường Đại học Đà Lạt
2012
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31071 |
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oai:scholar.dlu.edu.vn:DLU123456789-310712023-10-27T14:41:49Z An iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems Jong, Soo Jung Generalized mixed equilibrium problem Fixed point Nonexpansive mapping Inverse-strongly monotone mapping 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. 2012-06-18T07:29:57Z 2012-06-18T07:29:57Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31071 en Tạp chí Khoa học Đại học Đà Lạt, số 3a;tr. 85-95 application/pdf Trường Đại học Đà Lạt |
| institution |
Thư viện Trường Đại học Đà Lạt |
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Thư viện số |
| language |
English |
| topic |
Generalized mixed equilibrium problem Fixed point Nonexpansive mapping Inverse-strongly monotone mapping |
| spellingShingle |
Generalized mixed equilibrium problem Fixed point Nonexpansive mapping Inverse-strongly monotone mapping Jong, Soo Jung An iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems |
| description |
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. |
| format |
Article |
| author |
Jong, Soo Jung |
| author_facet |
Jong, Soo Jung |
| author_sort |
Jong, Soo Jung |
| title |
An iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems |
| title_short |
An iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems |
| title_full |
An iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems |
| title_fullStr |
An iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems |
| title_full_unstemmed |
An iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems |
| title_sort |
iterative algorithm for generalized mixed equilibrium problems, variational ineqnality problems and optimization problems |
| publisher |
Trường Đại học Đà Lạt |
| publishDate |
2012 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31071 |
| _version_ |
1781718907814412288 |