Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces
The goal of this manuscript is to establish strong convergence theorems for inertial shrinking projection and CQ algorithms to solve a split convex feasibility problem in real Hilbert spaces. Finally, numerical examples were obtained to discuss the performance and effectiveness of our algorithms and...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5562694 |
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| author | Hasanen A. Hammad Habib ur Rehman Yaé Ulrich Gaba |
| author_facet | Hasanen A. Hammad Habib ur Rehman Yaé Ulrich Gaba |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | The goal of this manuscript is to establish strong convergence theorems for inertial shrinking projection and CQ algorithms to solve a split convex feasibility problem in real Hilbert spaces. Finally, numerical examples were obtained to discuss the performance and effectiveness of our algorithms and compare the proposed algorithms with the previous shrinking projection, hybrid projection, and inertial forward-backward methods. |
| format | Article |
| id | doaj-art-ab248f5635f34f3b8f742c453fa2922a |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ab248f5635f34f3b8f742c453fa2922a2025-08-20T02:20:12ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55626945562694Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert SpacesHasanen A. Hammad0Habib ur Rehman1Yaé Ulrich Gaba2Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptDepartment of Mathematics, Monglkuts University of Technology, Bangkok 10140, ThailandQuantum Leap Africa (QLA), AIMS Rwanda Centre, Remera Sector KN 3, Kigali, RwandaThe goal of this manuscript is to establish strong convergence theorems for inertial shrinking projection and CQ algorithms to solve a split convex feasibility problem in real Hilbert spaces. Finally, numerical examples were obtained to discuss the performance and effectiveness of our algorithms and compare the proposed algorithms with the previous shrinking projection, hybrid projection, and inertial forward-backward methods.http://dx.doi.org/10.1155/2021/5562694 |
| spellingShingle | Hasanen A. Hammad Habib ur Rehman Yaé Ulrich Gaba Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces Journal of Function Spaces |
| title | Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces |
| title_full | Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces |
| title_fullStr | Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces |
| title_full_unstemmed | Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces |
| title_short | Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces |
| title_sort | solving a split feasibility problem by the strong convergence of two projection algorithms in hilbert spaces |
| url | http://dx.doi.org/10.1155/2021/5562694 |
| work_keys_str_mv | AT hasanenahammad solvingasplitfeasibilityproblembythestrongconvergenceoftwoprojectionalgorithmsinhilbertspaces AT habiburrehman solvingasplitfeasibilityproblembythestrongconvergenceoftwoprojectionalgorithmsinhilbertspaces AT yaeulrichgaba solvingasplitfeasibilityproblembythestrongconvergenceoftwoprojectionalgorithmsinhilbertspaces |