Solving Non-monotone Variational Inequality Problems Involving Non-Lipschitz Mappings with Application to Image Restoration.
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| Title: | Solving Non-monotone Variational Inequality Problems Involving Non-Lipschitz Mappings with Application to Image Restoration. |
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| Authors: | Adamu, Abubakar1,2,3 (AUTHOR) adamuabubakar@cqnu.edu.cn, Viet Thong, Duong4 (AUTHOR) thongduongviet@neu.edu.vn, Thi An, Nguyen4 (AUTHOR) annt@neu.edu.vn, Huy Ngan, Dang4 (AUTHOR) ngandh@neu.edu.vn |
| Source: | Journal of Scientific Computing. Jun2026, Vol. 107 Issue 3, p1-30. 30p. |
| Subjects: | Monotone operators, Lipschitz spaces, Hilbert space |
| Abstract: | In this paper, we introduce two self-adaptive subgradient extragradient methods for solving non-monotone variational inequalities involving non-Lipschitz mappings in real Hilbert space. Under weaker conditions than the existing conditions, we investigate and present strong convergence theorems of the proposed algorithms. Our results extend and improve the studied results in the literature. Finally, we give an application to image restoration and some numerical experiments to demonstrate the efficiency of our proposed algorithms. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Scientific Computing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193277348 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Solving Non-monotone Variational Inequality Problems Involving Non-Lipschitz Mappings with Application to Image Restoration. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Adamu%2C+Abubakar%22">Adamu, Abubakar</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> adamuabubakar@cqnu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Viet+Thong%2C+Duong%22">Viet Thong, Duong</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> thongduongviet@neu.edu.vn</i><br /><searchLink fieldCode="AR" term="%22Thi+An%2C+Nguyen%22">Thi An, Nguyen</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> annt@neu.edu.vn</i><br /><searchLink fieldCode="AR" term="%22Huy+Ngan%2C+Dang%22">Huy Ngan, Dang</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> ngandh@neu.edu.vn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Scientific+Computing%22">Journal of Scientific Computing</searchLink>. Jun2026, Vol. 107 Issue 3, p1-30. 30p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Monotone+operators%22">Monotone operators</searchLink><br /><searchLink fieldCode="DE" term="%22Lipschitz+spaces%22">Lipschitz spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we introduce two self-adaptive subgradient extragradient methods for solving non-monotone variational inequalities involving non-Lipschitz mappings in real Hilbert space. Under weaker conditions than the existing conditions, we investigate and present strong convergence theorems of the proposed algorithms. Our results extend and improve the studied results in the literature. Finally, we give an application to image restoration and some numerical experiments to demonstrate the efficiency of our proposed algorithms. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Scientific Computing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10915-026-03274-z Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 30 StartPage: 1 Subjects: – SubjectFull: Monotone operators Type: general – SubjectFull: Lipschitz spaces Type: general – SubjectFull: Hilbert space Type: general Titles: – TitleFull: Solving Non-monotone Variational Inequality Problems Involving Non-Lipschitz Mappings with Application to Image Restoration. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Adamu, Abubakar – PersonEntity: Name: NameFull: Viet Thong, Duong – PersonEntity: Name: NameFull: Thi An, Nguyen – PersonEntity: Name: NameFull: Huy Ngan, Dang IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 08857474 Numbering: – Type: volume Value: 107 – Type: issue Value: 3 Titles: – TitleFull: Journal of Scientific Computing Type: main |
| ResultId | 1 |
