Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces
The aim of this paper is to propose a new iterative algorithm to approximate the solution for a variational inequality problem in real Hilbert spaces. A strong convergence result for the above problem is established under certain mild conditions. Our proposed method requires the computation of only...
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MDPI AG
2021-10-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/4/248 |
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| author | Godwin Amechi Okeke Mujahid Abbas Manuel De la Sen Hira Iqbal |
| author_facet | Godwin Amechi Okeke Mujahid Abbas Manuel De la Sen Hira Iqbal |
| author_sort | Godwin Amechi Okeke |
| collection | DOAJ |
| description | The aim of this paper is to propose a new iterative algorithm to approximate the solution for a variational inequality problem in real Hilbert spaces. A strong convergence result for the above problem is established under certain mild conditions. Our proposed method requires the computation of only one projection onto the feasible set in each iteration. Some numerical examples are presented to support that our proposed method performs better than some known comparable methods for solving variational inequality problems. |
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| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T04:36:15Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
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| series | Axioms |
| spelling | doaj.art-fe01a4ddb8a7483ab2677627c180938f2023-11-23T03:48:58ZengMDPI AGAxioms2075-16802021-10-0110424810.3390/axioms10040248Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert SpacesGodwin Amechi Okeke0Mujahid Abbas1Manuel De la Sen2Hira Iqbal3Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, Owerri P.M.B. 1526, NigeriaDepartment of Mathematics, Government College University Katchery Road, Lahore 54000, PakistanInstitute of Research and Development of Processes, Campus of Leioa (Bizkaia), University of the Basque Country, P.O. Box 644, Barrio Sarriena, 48940 Leioa, SpainDepartment of Sciences and Humanities, Lahore Campus, National University of Computer and Emerging Sciences, Lahore 54000, PakistanThe aim of this paper is to propose a new iterative algorithm to approximate the solution for a variational inequality problem in real Hilbert spaces. A strong convergence result for the above problem is established under certain mild conditions. Our proposed method requires the computation of only one projection onto the feasible set in each iteration. Some numerical examples are presented to support that our proposed method performs better than some known comparable methods for solving variational inequality problems.https://www.mdpi.com/2075-1680/10/4/248Tseng’s extragradientmonotone operatorsinertial iterative algorithmsvariational inequality problemsHilbert spacesstrong convergence |
| spellingShingle | Godwin Amechi Okeke Mujahid Abbas Manuel De la Sen Hira Iqbal Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces Axioms Tseng’s extragradient monotone operators inertial iterative algorithms variational inequality problems Hilbert spaces strong convergence |
| title | Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces |
| title_full | Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces |
| title_fullStr | Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces |
| title_full_unstemmed | Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces |
| title_short | Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces |
| title_sort | accelerated modified tseng s extragradient method for solving variational inequality problems in hilbert spaces |
| topic | Tseng’s extragradient monotone operators inertial iterative algorithms variational inequality problems Hilbert spaces strong convergence |
| url | https://www.mdpi.com/2075-1680/10/4/248 |
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