The Tikhonov regularization method for pseudomonotone equilibrium problems

We extend the Tikhonov regularization method widely used in optimization and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularized subproblems have a unique solution only in the limit, but any Tikhonov trajectory tends to the solution of the origi...

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Những tác giả chính: Phạm, Gia Hưng, Lê, Dũng Mưu
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/DLU123456789/31066
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spelling oai:scholar.dlu.edu.vn:DLU123456789-310662023-10-27T14:41:46Z The Tikhonov regularization method for pseudomonotone equilibrium problems Phạm, Gia Hưng Lê, Dũng Mưu Equilibrium problems Multivalued variational inequalities Tikhonov regularization We extend the Tikhonov regularization method widely used in optimization and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularized subproblems have a unique solution only in the limit, but any Tikhonov trajectory tends to the solution of the original problem that is nearest to the given guess solution. Application to multivalued pseudomonotone variational inequality problema is discussed. 2012-06-18T06:47:32Z 2012-06-18T06:47:32Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31066 en Tạp chí Khoa học Đại học Đà Lạt, số 3a;tr. 45-50 application/pdf Trường Đại học Đà Lạt
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Equilibrium problems
Multivalued variational inequalities
Tikhonov regularization
spellingShingle Equilibrium problems
Multivalued variational inequalities
Tikhonov regularization
Phạm, Gia Hưng
Lê, Dũng Mưu
The Tikhonov regularization method for pseudomonotone equilibrium problems
description We extend the Tikhonov regularization method widely used in optimization and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularized subproblems have a unique solution only in the limit, but any Tikhonov trajectory tends to the solution of the original problem that is nearest to the given guess solution. Application to multivalued pseudomonotone variational inequality problema is discussed.
format Article
author Phạm, Gia Hưng
Lê, Dũng Mưu
author_facet Phạm, Gia Hưng
Lê, Dũng Mưu
author_sort Phạm, Gia Hưng
title The Tikhonov regularization method for pseudomonotone equilibrium problems
title_short The Tikhonov regularization method for pseudomonotone equilibrium problems
title_full The Tikhonov regularization method for pseudomonotone equilibrium problems
title_fullStr The Tikhonov regularization method for pseudomonotone equilibrium problems
title_full_unstemmed The Tikhonov regularization method for pseudomonotone equilibrium problems
title_sort tikhonov regularization method for pseudomonotone equilibrium problems
publisher Trường Đại học Đà Lạt
publishDate 2012
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31066
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