Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings
In this paper, we study a three step iterative scheme to approximate fixed points of Suzuki’s generalized non-expansive mappings. We establish some weak and strong convergence results for such mappings in uniformly convex Banach spaces. Further, we show numerically that the considered iter...
| 出版年: | Mathematics |
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| 主要な著者: | , , |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
MDPI AG
2019-06-01
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| 主題: | |
| オンライン･アクセス: | https://www.mdpi.com/2227-7390/7/6/522 |
| _version_ | 1857031387977089024 |
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| author | Javid Ali Faeem Ali Puneet Kumar |
| author_facet | Javid Ali Faeem Ali Puneet Kumar |
| author_sort | Javid Ali |
| collection | DOAJ |
| container_title | Mathematics |
| description | In this paper, we study a three step iterative scheme to approximate fixed points of Suzuki’s generalized non-expansive mappings. We establish some weak and strong convergence results for such mappings in uniformly convex Banach spaces. Further, we show numerically that the considered iterative scheme converges faster than some other known iterations for Suzuki’s generalized non-expansive mappings. To support our claim, we give an illustrative numerical example and approximate fixed points of such mappings using Matlab program. Our results are new and generalize several relevant results in the literature. |
| format | Article |
| id | doaj-art-e8eb457b039942e48efa729fe520d0dd |
| institution | Directory of Open Access Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2019-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| spelling | doaj-art-e8eb457b039942e48efa729fe520d0dd2025-08-19T19:40:08ZengMDPI AGMathematics2227-73902019-06-017652210.3390/math7060522math7060522Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive MappingsJavid Ali0Faeem Ali1Puneet Kumar2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics and Statistics, Fiji National University, P.O. Box 3722, Samabula, FijiIn this paper, we study a three step iterative scheme to approximate fixed points of Suzuki’s generalized non-expansive mappings. We establish some weak and strong convergence results for such mappings in uniformly convex Banach spaces. Further, we show numerically that the considered iterative scheme converges faster than some other known iterations for Suzuki’s generalized non-expansive mappings. To support our claim, we give an illustrative numerical example and approximate fixed points of such mappings using Matlab program. Our results are new and generalize several relevant results in the literature.https://www.mdpi.com/2227-7390/7/6/522Suzuki’s generalized non-expansive mappingsiterative schemesfixed pointsweak and strong convergence resultsuniformly convex Banach space |
| spellingShingle | Javid Ali Faeem Ali Puneet Kumar Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings Suzuki’s generalized non-expansive mappings iterative schemes fixed points weak and strong convergence results uniformly convex Banach space |
| title | Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings |
| title_full | Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings |
| title_fullStr | Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings |
| title_full_unstemmed | Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings |
| title_short | Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings |
| title_sort | approximation of fixed points for suzuki s generalized non expansive mappings |
| topic | Suzuki’s generalized non-expansive mappings iterative schemes fixed points weak and strong convergence results uniformly convex Banach space |
| url | https://www.mdpi.com/2227-7390/7/6/522 |
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