Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings
We introduce a new iterative method in this article, called the D iterative approach for fixed point approximation. Analytically, and also numerically, we demonstrate that our established D I.P is faster than the well-known I.P of the prior art. Finally, in a uniformly convex Banach space environmen...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6675979 |
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| _version_ | 1832566011981725696 |
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| author | Aftab Hussain Nawab Hussain Danish Ali |
| author_facet | Aftab Hussain Nawab Hussain Danish Ali |
| author_sort | Aftab Hussain |
| collection | DOAJ |
| description | We introduce a new iterative method in this article, called the D iterative approach for fixed point approximation. Analytically, and also numerically, we demonstrate that our established D I.P is faster than the well-known I.P of the prior art. Finally, in a uniformly convex Banach space environment, we present weak as well as strong convergence theorems for Suzuki’s generalized nonexpansive maps. Our findings are an extension, refinement, and induction of several existing iterative literatures. |
| format | Article |
| id | doaj-art-9d21c3072faa4cf383c4a808428ef349 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9d21c3072faa4cf383c4a808428ef3492025-02-03T01:05:27ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66759796675979Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive MappingsAftab Hussain0Nawab Hussain1Danish Ali2Department of Mathematics, King Abdulaziz University, P.O. Box 80203 Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203 Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Natural Science, Khawaja Fareed University of Engineering and Technology, 64100 Rahim Yar Khan, PakistanWe introduce a new iterative method in this article, called the D iterative approach for fixed point approximation. Analytically, and also numerically, we demonstrate that our established D I.P is faster than the well-known I.P of the prior art. Finally, in a uniformly convex Banach space environment, we present weak as well as strong convergence theorems for Suzuki’s generalized nonexpansive maps. Our findings are an extension, refinement, and induction of several existing iterative literatures.http://dx.doi.org/10.1155/2021/6675979 |
| spellingShingle | Aftab Hussain Nawab Hussain Danish Ali Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings Journal of Function Spaces |
| title | Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings |
| title_full | Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings |
| title_fullStr | Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings |
| title_full_unstemmed | Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings |
| title_short | Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings |
| title_sort | estimation of newly established iterative scheme for generalized nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2021/6675979 |
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