Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 69, 2020 - Issue 7-8: Special issue dedicated to Professor Boris Mordukhovich on the occasion of his 70th birthday
Submit an article Journal homepage
265
Views
15
CrossRef citations to date
0
Altmetric
Articles

Generalized Halpern-type forward–backward splitting methods for convex minimization problems with application to image restoration problems

Duangkamon Kitkuana KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory & Department of Mathematics, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok, ThailandORCID Iconhttps://orcid.org/0000-0002-9854-9864View further author information
ORCID Icon,
Poom Kumama KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory & Department of Mathematics, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok, Thailand;b Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok, ThailandCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-5463-4581View further author information
ORCID Icon &
Juan Martínez-Morenoc Faculty of Experimental Science, Department of Mathematics, University of Jaén, Jaén, SpainORCID Iconhttps://orcid.org/0000-0002-3340-2781View further author information
ORCID Icon
Pages 1557-1581 | Received 30 Sep 2018, Accepted 05 Jul 2019, Published online: 29 Jul 2019

Citations (15)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (3)

Ebru Altiparmak & Ibrahim Karahan. (2022) A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems. International Journal of Computer Mathematics 99:12, pages 2482-2498.
Read now
Konrawut Khammahawong, Poom Kumam & Parin Chaipunya. (2021) Splitting Algorithms for Equilibrium Problems and Inclusion Problems on Hadamard Manifolds. Numerical Functional Analysis and Optimization 42:14, pages 1645-1682.
Read now
C. E. Chidume, A. Adamu, P. Kumam & D. Kitkuan. (2021) Generalized Hybrid Viscosity-Type Forward-Backward Splitting Method with Application to Convex Minimization and Image Restoration Problems. Numerical Functional Analysis and Optimization 42:13, pages 1586-1607.
Read now

Articles from other publishers (12)

Austine Efut Ofem, Jacob Ashiwere Abuchu, Hossam A. Nabwey, Godwin Chidi Ugwunnadi & Ojen Kumar Narain. (2023) On Bilevel Monotone Inclusion and Variational Inequality Problems. Mathematics 11:22, pages 4643.
Crossref
Anjali, Seema Mehra, Renu Chugh, Salma Haque & Nabil Mlaiki. (2023) Iterative algorithm for solving monotone inclusion and fixed point problem of a finite family of demimetric mappings. AIMS Mathematics 8:8, pages 19334-19352.
Crossref
Premyuda Dechboon, Abubakar Adamu & Poom Kumam. (2023) A generalized Halpern-type forward-backward splitting algorithm for solving variational inclusion problems. AIMS Mathematics 8:5, pages 11037-11056.
Crossref
Natthaphon Artsawang. (2023) Accelerated preconditioning Krasnosel'skiĭ-Mann method for efficiently solving monotone inclusion problems. AIMS Mathematics 8:12, pages 28398-28412.
Crossref
Kanikar Muangchoo, Abubakar Adamu, Abdulkarim Hassan Ibrahim & Auwal Bala Abubakar. (2022) An inertial Halpern-type algorithm involving monotone operators on real Banach spaces with application to image recovery problems. Computational and Applied Mathematics 41:8.
Crossref
Konrawut Khammahawong, Parin Chaipunya & Kamonrat Sombut. (2022) Approximating Common Fixed Points of Nonexpansive Mappings on Hadamard Manifolds with Applications. Mathematics 10:21, pages 4080.
Crossref
Abubakar Adamu, Duangkamon Kitkuan, Poom Kumam, Anantachai Padcharoen & Thidaporn Seangwattana. (2022) Approximation method for monotone inclusion problems in real Banach spaces with applications. Journal of Inequalities and Applications 2022:1.
Crossref
Parin Chaipunya, Konrawut Khammahawong & Poom Kumam. (2021) Iterative algorithm for singularities of inclusion problems in Hadamard manifolds. Journal of Inequalities and Applications 2021:1.
Crossref
Nattakarn Kaewyong & Kanokwan Sitthithakerngkiet. (2021) Modified Tseng’s Method with Inertial Viscosity Type for Solving Inclusion Problems and Its Application to Image Restoration Problems. Mathematics 9:10, pages 1104.
Crossref
Jamilu Abubakar, Poom Kumam, Abdulkarim Hassan Ibrahim & Anantachai Padcharoen. (2020) Relaxed Inertial Tseng’s Type Method for Solving the Inclusion Problem with Application to Image Restoration. Mathematics 8:5, pages 818.
Crossref
Natthaphon Artsawang & Kasamsuk Ungchittrakool. (2020) Inertial Mann-Type Algorithm for a Nonexpansive Mapping to Solve Monotone Inclusion and Image Restoration Problems. Symmetry 12:5, pages 750.
Crossref
K. Khammahawong, P. Kumam & P. Chaipunya. (2020) On the convergence of splitting algorithm for mixed equilibrium problems on Hadamard manifolds. Journal of Mathematical Chemistry 58:4, pages 799-815.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.