Some iterative methods for quasi-equilibrium problem s
In this paper we present two new extensions of Korpelevich's extragraclient method for solving the scalar Quasi-Equilibrium Problem (QEP) in Euclidean space. In both extensions we replace the second orthogon al p rojection in the correction step of the extragradient method by an Armijo lines...
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Trường Đại học Đà Lạt
2014
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oai:scholar.dlu.edu.vn:DLU123456789-374382023-10-27T14:41:54Z Some iterative methods for quasi-equilibrium problem s Strodiot, Jean-Jacques Nguyễn, Thị Thu Vân In this paper we present two new extensions of Korpelevich's extragraclient method for solving the scalar Quasi-Equilibrium Problem (QEP) in Euclidean space. In both extensions we replace the second orthogon al p rojection in the correction step of the extragradient method by an Armijo linesearch adapted to (QEP). We show that in both extensions we obtain, under mild conditions and without a Lipschitz condition, the global convergence of our iterative met h o d s for computing a quasi-equilibrium solution. 2014-05-29T03:22:41Z 2014-05-29T03:22:41Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37438 en Tạp chí Khoa học Đại học Đà Lạt, số 3b;tr. 67-80 application/pdf Trường Đại học Đà Lạt |
| institution |
Thư viện Trường Đại học Đà Lạt |
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Thư viện số |
| language |
English |
| description |
In this paper we present two new extensions of Korpelevich's extragraclient
method for solving the scalar Quasi-Equilibrium Problem (QEP) in Euclidean
space. In both extensions we replace the second orthogon al p rojection in the correction
step of the extragradient method by an Armijo linesearch adapted to (QEP).
We show that in both extensions we obtain, under mild conditions and without a
Lipschitz condition, the global convergence of our iterative met h o d s for computing a
quasi-equilibrium solution. |
| format |
Article |
| author |
Strodiot, Jean-Jacques Nguyễn, Thị Thu Vân |
| spellingShingle |
Strodiot, Jean-Jacques Nguyễn, Thị Thu Vân Some iterative methods for quasi-equilibrium problem s |
| author_facet |
Strodiot, Jean-Jacques Nguyễn, Thị Thu Vân |
| author_sort |
Strodiot, Jean-Jacques |
| title |
Some iterative methods for quasi-equilibrium problem s |
| title_short |
Some iterative methods for quasi-equilibrium problem s |
| title_full |
Some iterative methods for quasi-equilibrium problem s |
| title_fullStr |
Some iterative methods for quasi-equilibrium problem s |
| title_full_unstemmed |
Some iterative methods for quasi-equilibrium problem s |
| title_sort |
some iterative methods for quasi-equilibrium problem s |
| publisher |
Trường Đại học Đà Lạt |
| publishDate |
2014 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37438 |
| _version_ |
1781718674881642496 |