| Autor: |
Owolabi Abd-Semii Oluwatosin-Enitan, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Open Mathematics, Vol 21, Iss 1, Pp 4413-142 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2391-5455 |
| DOI: |
10.1515/math-2022-0571 |
| Popis: |
In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned problem in the framework of Hilbert spaces. Moreover, we prove a strong convergence result for the proposed algorithm without prior knowledge of the operator norm and under mild conditions on the control parameters. The main advantages of our algorithm are: the strong convergence result obtained without prior knowledge of the operator norm and without the Lipschitz continuity condition often assumed by authors; the minimized number of projections per iteration compared to related results in the literature; the inertial technique employed, which speeds up the rate of convergence; and unlike several of the existing results in the literature on VIPs with non-Lipschitz operators, our method does not require any linesearch technique for its implementation. Finally, we present several numerical examples to illustrate the usefulness and applicability of our algorithm. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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