Iterative Approximation of Common Fixed Points for Edge-Preserving Quasi-Nonexpansive Mappings in Hilbert Spaces along with Directed Graph
We present iterative approximation results of an iterative scheme for finding common fixed points of edge-preserving quasi-nonexpansive self-maps in Hilbert spaces along with directed graph. We obtain weak as well as strong convergence of our scheme under various assumptions. That is, we impose seve...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/6400676 |
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| _version_ | 1850178949114494976 |
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| author | Kiran Dewangan Niyati Gurudwan Junaid Ahmad Ahmad Aloqaily Nabil Mlaiki |
| author_facet | Kiran Dewangan Niyati Gurudwan Junaid Ahmad Ahmad Aloqaily Nabil Mlaiki |
| author_sort | Kiran Dewangan |
| collection | DOAJ |
| description | We present iterative approximation results of an iterative scheme for finding common fixed points of edge-preserving quasi-nonexpansive self-maps in Hilbert spaces along with directed graph. We obtain weak as well as strong convergence of our scheme under various assumptions. That is, we impose several possible mild conditions on the domain, on the mapping, or on the parameters involved in our scheme to prove convergence results. We support numerically our main outcome by giving an example. Eventually, an application is provided for solving a variational inequality problem. Our result are new/generalized some recently announced results of the literature. |
| format | Article |
| id | doaj-art-bece5955852f4511af8315b62f60ff50 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bece5955852f4511af8315b62f60ff502025-08-20T02:18:36ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/6400676Iterative Approximation of Common Fixed Points for Edge-Preserving Quasi-Nonexpansive Mappings in Hilbert Spaces along with Directed GraphKiran Dewangan0Niyati Gurudwan1Junaid Ahmad2Ahmad Aloqaily3Nabil Mlaiki4Department of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of Mathematics and SciencesDepartment of Mathematics and SciencesWe present iterative approximation results of an iterative scheme for finding common fixed points of edge-preserving quasi-nonexpansive self-maps in Hilbert spaces along with directed graph. We obtain weak as well as strong convergence of our scheme under various assumptions. That is, we impose several possible mild conditions on the domain, on the mapping, or on the parameters involved in our scheme to prove convergence results. We support numerically our main outcome by giving an example. Eventually, an application is provided for solving a variational inequality problem. Our result are new/generalized some recently announced results of the literature.http://dx.doi.org/10.1155/2023/6400676 |
| spellingShingle | Kiran Dewangan Niyati Gurudwan Junaid Ahmad Ahmad Aloqaily Nabil Mlaiki Iterative Approximation of Common Fixed Points for Edge-Preserving Quasi-Nonexpansive Mappings in Hilbert Spaces along with Directed Graph Journal of Mathematics |
| title | Iterative Approximation of Common Fixed Points for Edge-Preserving Quasi-Nonexpansive Mappings in Hilbert Spaces along with Directed Graph |
| title_full | Iterative Approximation of Common Fixed Points for Edge-Preserving Quasi-Nonexpansive Mappings in Hilbert Spaces along with Directed Graph |
| title_fullStr | Iterative Approximation of Common Fixed Points for Edge-Preserving Quasi-Nonexpansive Mappings in Hilbert Spaces along with Directed Graph |
| title_full_unstemmed | Iterative Approximation of Common Fixed Points for Edge-Preserving Quasi-Nonexpansive Mappings in Hilbert Spaces along with Directed Graph |
| title_short | Iterative Approximation of Common Fixed Points for Edge-Preserving Quasi-Nonexpansive Mappings in Hilbert Spaces along with Directed Graph |
| title_sort | iterative approximation of common fixed points for edge preserving quasi nonexpansive mappings in hilbert spaces along with directed graph |
| url | http://dx.doi.org/10.1155/2023/6400676 |
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