Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications
In this paper, we approximate the fixed points of multivalued quasi-nonexpansive mappings via a faster iterative process and propose a faster fixed-point iterative method for finding the solution of two-point boundary value problems. We prove analytically and with series of numerical experiments tha...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/8634050 |
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| _version_ | 1832560692942602240 |
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| author | Godwin Amechi Okeke Mujahid Abbas Manuel de la Sen |
| author_facet | Godwin Amechi Okeke Mujahid Abbas Manuel de la Sen |
| author_sort | Godwin Amechi Okeke |
| collection | DOAJ |
| description | In this paper, we approximate the fixed points of multivalued quasi-nonexpansive mappings via a faster iterative process and propose a faster fixed-point iterative method for finding the solution of two-point boundary value problems. We prove analytically and with series of numerical experiments that the Picard–Ishikawa hybrid iterative process has the same rate of convergence as the CR iterative process. |
| format | Article |
| id | doaj-art-be1861a46c6241fd87b3d57f617e63b8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-be1861a46c6241fd87b3d57f617e63b82025-02-03T01:26:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/86340508634050Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with ApplicationsGodwin Amechi Okeke0Mujahid Abbas1Manuel de la Sen2Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P. M. B. 1526 Owerri, Imo State, NigeriaDepartment of Mathematics, Government College University, 54000 Lahore, PakistanInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644- Bilbao, Barrio Sarriena, 48940 Leioa, SpainIn this paper, we approximate the fixed points of multivalued quasi-nonexpansive mappings via a faster iterative process and propose a faster fixed-point iterative method for finding the solution of two-point boundary value problems. We prove analytically and with series of numerical experiments that the Picard–Ishikawa hybrid iterative process has the same rate of convergence as the CR iterative process.http://dx.doi.org/10.1155/2020/8634050 |
| spellingShingle | Godwin Amechi Okeke Mujahid Abbas Manuel de la Sen Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications Discrete Dynamics in Nature and Society |
| title | Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications |
| title_full | Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications |
| title_fullStr | Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications |
| title_full_unstemmed | Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications |
| title_short | Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications |
| title_sort | approximation of the fixed point of multivalued quasi nonexpansive mappings via a faster iterative process with applications |
| url | http://dx.doi.org/10.1155/2020/8634050 |
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