Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces
In this article, we prove some weak and strong convergence theorems for mappings satisfying condition (E) using the AK iterative scheme in the setting of Banach spaces. We offer a new example of mapping with condition (E) in support of our main result. Our results extend and improve many well-known...
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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/10.1155/2020/4627260 |
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| _version_ | 1832566230406397952 |
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| author | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad Nabil Mlaiki |
| author_facet | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad Nabil Mlaiki |
| author_sort | Thabet Abdeljawad |
| collection | DOAJ |
| description | In this article, we prove some weak and strong convergence theorems for mappings satisfying condition (E) using the AK iterative scheme in the setting of Banach spaces. We offer a new example of mapping with condition (E) in support of our main result. Our results extend and improve many well-known corresponding results of the current literature. |
| format | Article |
| id | doaj-art-bc1f70a858f04a4d8d8b07dd0936aa3b |
| 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-bc1f70a858f04a4d8d8b07dd0936aa3b2025-02-03T01:04:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/46272604627260Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach SpacesThabet Abdeljawad0Kifayat Ullah1Junaid Ahmad2Nabil Mlaiki3Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaIn this article, we prove some weak and strong convergence theorems for mappings satisfying condition (E) using the AK iterative scheme in the setting of Banach spaces. We offer a new example of mapping with condition (E) in support of our main result. Our results extend and improve many well-known corresponding results of the current literature.http://dx.doi.org/10.1155/2020/4627260 |
| spellingShingle | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad Nabil Mlaiki Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces Discrete Dynamics in Nature and Society |
| title | Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces |
| title_full | Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces |
| title_fullStr | Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces |
| title_full_unstemmed | Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces |
| title_short | Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces |
| title_sort | iterative approximations for a class of generalized nonexpansive operators in banach spaces |
| url | http://dx.doi.org/10.1155/2020/4627260 |
| work_keys_str_mv | AT thabetabdeljawad iterativeapproximationsforaclassofgeneralizednonexpansiveoperatorsinbanachspaces AT kifayatullah iterativeapproximationsforaclassofgeneralizednonexpansiveoperatorsinbanachspaces AT junaidahmad iterativeapproximationsforaclassofgeneralizednonexpansiveoperatorsinbanachspaces AT nabilmlaiki iterativeapproximationsforaclassofgeneralizednonexpansiveoperatorsinbanachspaces |