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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Tác giả chính: Jong, Soo Jung
Định dạng: Bài viết
Ngôn ngữ:English
Được phát hành: 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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spelling 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
collection 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
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