A new extragradient iteration algorithm for bilevel variational inequalities

In this paper, we introduce an approximation extragradient iteration method for solving bilevel variational inequalities involving two variational inequalities and we show that these problems can be solved by projection sequences and fixed point techniques. We obtain a strong convergence...

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Tác giả chính: Pham, Ngoc Anh
Định dạng: Bài trích
Ngôn ngữ:English
Thông tin xuất bản: 2013
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Truy cập trực tuyến:http://dlib.ptit.edu.vn/handle/HVCNBCVT/671
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spelling oai:localhost:HVCNBCVT-6712021-07-15T03:54:10Z A new extragradient iteration algorithm for bilevel variational inequalities Pham, Ngoc Anh Bilevel variational inequalities Monotonicity Lipschitz continuous Extragradient algorithm In this paper, we introduce an approximation extragradient iteration method for solving bilevel variational inequalities involving two variational inequalities and we show that these problems can be solved by projection sequences and fixed point techniques. We obtain a strong convergence of three iteration sequences generated by this method in a real Hilbert space. 2013-01-09T04:08:23Z 2013-01-09T04:08:23Z 2012 Article http://dlib.ptit.edu.vn/handle/HVCNBCVT/671 en Acta Mathematica Vietnamica;Vo.37, No. 1, 2012, pp. 95-107 application/pdf
institution Học Viện Công Nghệ Bưu Chính Viễn Thông
collection DSpace
language English
topic Bilevel variational inequalities
Monotonicity
Lipschitz continuous
Extragradient algorithm
spellingShingle Bilevel variational inequalities
Monotonicity
Lipschitz continuous
Extragradient algorithm
Pham, Ngoc Anh
A new extragradient iteration algorithm for bilevel variational inequalities
description In this paper, we introduce an approximation extragradient iteration method for solving bilevel variational inequalities involving two variational inequalities and we show that these problems can be solved by projection sequences and fixed point techniques. We obtain a strong convergence of three iteration sequences generated by this method in a real Hilbert space.
format Article
author Pham, Ngoc Anh
author_facet Pham, Ngoc Anh
author_sort Pham, Ngoc Anh
title A new extragradient iteration algorithm for bilevel variational inequalities
title_short A new extragradient iteration algorithm for bilevel variational inequalities
title_full A new extragradient iteration algorithm for bilevel variational inequalities
title_fullStr A new extragradient iteration algorithm for bilevel variational inequalities
title_full_unstemmed A new extragradient iteration algorithm for bilevel variational inequalities
title_sort new extragradient iteration algorithm for bilevel variational inequalities
publishDate 2013
url http://dlib.ptit.edu.vn/handle/HVCNBCVT/671
work_keys_str_mv AT phamngocanh anewextragradientiterationalgorithmforbilevelvariationalinequalities
AT phamngocanh newextragradientiterationalgorithmforbilevelvariationalinequalities
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