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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Trường Đại học Đà Lạt
2012
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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 |
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Thư viện số |
language |
English |
topic |
Equilibrium problems Multivalued variational inequalities Tikhonov regularization |
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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 |
_version_ |
1819793956983013376 |