Some variants of the hybrid extragradient algorithm in Hilbert spaces
Abstract This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fixed-point problem associated with the finite families of k $\Bbbk $ -demicontracti...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03052-7 |
| _version_ | 1797355427788226560 |
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| author | Yasir Arfat Poom Kumam Muhammad Aqeel Ahmad Khan Thidaporn Seangwattana Zaffar Iqbal |
| author_facet | Yasir Arfat Poom Kumam Muhammad Aqeel Ahmad Khan Thidaporn Seangwattana Zaffar Iqbal |
| author_sort | Yasir Arfat |
| collection | DOAJ |
| description | Abstract This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fixed-point problem associated with the finite families of k $\Bbbk $ -demicontractive mappings. We also incorporate appropriate numerical results concerning the viability of the proposed variants with respect to various real-world applications. |
| first_indexed | 2024-03-08T14:10:55Z |
| format | Article |
| id | doaj.art-4b1bf809aeb341f6820758aaa38a59e2 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-03-08T14:10:55Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-4b1bf809aeb341f6820758aaa38a59e22024-01-14T12:42:19ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-01-012024111610.1186/s13660-023-03052-7Some variants of the hybrid extragradient algorithm in Hilbert spacesYasir Arfat0Poom Kumam1Muhammad Aqeel Ahmad Khan2Thidaporn Seangwattana3Zaffar Iqbal4KMUTT Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)KMUTT Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics, The Islamia University of BahawalpurFaculty of Science Energy and Environment, King Mongkut’s University of Technology North BangkokDepartment of Mathematics, University of GujratAbstract This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fixed-point problem associated with the finite families of k $\Bbbk $ -demicontractive mappings. We also incorporate appropriate numerical results concerning the viability of the proposed variants with respect to various real-world applications.https://doi.org/10.1186/s13660-023-03052-7Hybrid extragradient algorithmEquilibrium problemFixed-point problemStrong convergence |
| spellingShingle | Yasir Arfat Poom Kumam Muhammad Aqeel Ahmad Khan Thidaporn Seangwattana Zaffar Iqbal Some variants of the hybrid extragradient algorithm in Hilbert spaces Journal of Inequalities and Applications Hybrid extragradient algorithm Equilibrium problem Fixed-point problem Strong convergence |
| title | Some variants of the hybrid extragradient algorithm in Hilbert spaces |
| title_full | Some variants of the hybrid extragradient algorithm in Hilbert spaces |
| title_fullStr | Some variants of the hybrid extragradient algorithm in Hilbert spaces |
| title_full_unstemmed | Some variants of the hybrid extragradient algorithm in Hilbert spaces |
| title_short | Some variants of the hybrid extragradient algorithm in Hilbert spaces |
| title_sort | some variants of the hybrid extragradient algorithm in hilbert spaces |
| topic | Hybrid extragradient algorithm Equilibrium problem Fixed-point problem Strong convergence |
| url | https://doi.org/10.1186/s13660-023-03052-7 |
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