A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities
This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive rule and the extragradient algorithm. We demo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/9447175 |
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| _version_ | 1832551550555258880 |
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| author | Li-Jun Zhu Tzu-Chien Yin |
| author_facet | Li-Jun Zhu Tzu-Chien Yin |
| author_sort | Li-Jun Zhu |
| collection | DOAJ |
| description | This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive rule and the extragradient algorithm. We demonstrate that the procedure weakly converges to the solution of the investigated quasimonotone variational inequality provided the considered operator satisfies several additional conditions. |
| format | Article |
| id | doaj-art-8507a75b0cff464b9ab52e73db09d1ca |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8507a75b0cff464b9ab52e73db09d1ca2025-02-03T06:01:09ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9447175A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational InequalitiesLi-Jun Zhu0Tzu-Chien Yin1The Key Laboratory of Intelligent Information and Big Data Processing of NingXiaResearch Center for Interneural ComputingThis article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive rule and the extragradient algorithm. We demonstrate that the procedure weakly converges to the solution of the investigated quasimonotone variational inequality provided the considered operator satisfies several additional conditions.http://dx.doi.org/10.1155/2022/9447175 |
| spellingShingle | Li-Jun Zhu Tzu-Chien Yin A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities Journal of Function Spaces |
| title | A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities |
| title_full | A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities |
| title_fullStr | A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities |
| title_full_unstemmed | A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities |
| title_short | A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities |
| title_sort | self adaptive extragradient algorithm for solving quasimonotone variational inequalities |
| url | http://dx.doi.org/10.1155/2022/9447175 |
| work_keys_str_mv | AT lijunzhu aselfadaptiveextragradientalgorithmforsolvingquasimonotonevariationalinequalities AT tzuchienyin aselfadaptiveextragradientalgorithmforsolvingquasimonotonevariationalinequalities AT lijunzhu selfadaptiveextragradientalgorithmforsolvingquasimonotonevariationalinequalities AT tzuchienyin selfadaptiveextragradientalgorithmforsolvingquasimonotonevariationalinequalities |