SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS
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 orthogonal projection in the correction step of the extragradient method by an Armijo linesearch...
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| Format: | Article |
| Language: | English |
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Dalat University
2012-09-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
| Subjects: | |
| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/210 |
| _version_ | 1818889797371953152 |
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| author | Jean Jacques Strodiot Nguyễn Thị Thu Vân Nguyễn Văn Hiền |
| author_facet | Jean Jacques Strodiot Nguyễn Thị Thu Vân Nguyễn Văn Hiền |
| author_sort | Jean Jacques Strodiot |
| collection | DOAJ |
| 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 orthogonal projection 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 methods for computing a quasi-equilibrium solution. |
| first_indexed | 2024-12-19T17:14:44Z |
| format | Article |
| id | doaj.art-bbff6d13c34c4eadbe9a436e18676c57 |
| institution | Directory Open Access Journal |
| issn | 0866-787X |
| language | English |
| last_indexed | 2024-12-19T17:14:44Z |
| publishDate | 2012-09-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj.art-bbff6d13c34c4eadbe9a436e18676c572022-12-21T20:12:56ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-09-012310.37569/DalatUniversity.2.3.210(2012)SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMSJean Jacques Strodiot0Nguyễn Thị Thu Vân1Nguyễn Văn Hiền2Institute for Computational Science and Technology at Ho Chi Minh City (ICST HCMC), Vietnam, and University of Namur (FUNDP), BelgiumInstitute for Computational Science and Technology at Ho Chi Minh City (ICST HCMC)Institute for Computational Science and Technology at Ho Chi Minh City (ICST HCMC)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 orthogonal projection 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 methods for computing a quasi-equilibrium solution.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/210Scalar Quasi-Equilibrium ProblemExtragradient method |
| spellingShingle | Jean Jacques Strodiot Nguyễn Thị Thu Vân Nguyễn Văn Hiền SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS Tạp chí Khoa học Đại học Đà Lạt Scalar Quasi-Equilibrium Problem Extragradient method |
| title | SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS |
| title_full | SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS |
| title_fullStr | SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS |
| title_full_unstemmed | SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS |
| title_short | SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS |
| title_sort | some iterative methods for quasi equilibrium problems |
| topic | Scalar Quasi-Equilibrium Problem Extragradient method |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/210 |
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