On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings
In this paper, we extend the results obtained by Ezearn on annihilated points for his higher-order nonexpansive mappings to the context of general higher-order nonexpansive mappings. Precisely in his thesis, Ezearn introduced the concept of annihilated points, which extends the notion of fixed point...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2023/9735244 |
| _version_ | 1797830133677031424 |
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| author | Joseph Frank Gordon Abdul Hayee Shaikh Augustine Annan Yarhands Dissou Arthur Emmanuel Akweittey Benjamin Adu Obeng |
| author_facet | Joseph Frank Gordon Abdul Hayee Shaikh Augustine Annan Yarhands Dissou Arthur Emmanuel Akweittey Benjamin Adu Obeng |
| author_sort | Joseph Frank Gordon |
| collection | DOAJ |
| description | In this paper, we extend the results obtained by Ezearn on annihilated points for his higher-order nonexpansive mappings to the context of general higher-order nonexpansive mappings. Precisely in his thesis, Ezearn introduced the concept of annihilated points, which extends the notion of fixed points, and it is only meaningful in the context of higher-order nonexpansive mappings and gave some mild conditions when the annihilated points could exist in strictly convex Banach spaces. In the last direction, we also extend Ezearn’s result on the approximate fixed point sequence for higher-order nonexpansive mappings to general higher-order nonexpansive mappings. |
| first_indexed | 2024-04-09T13:32:19Z |
| format | Article |
| id | doaj.art-e6c6e16150d74eb9a22791e0ee2f66f2 |
| institution | Directory Open Access Journal |
| issn | 1687-0409 |
| language | English |
| last_indexed | 2024-04-09T13:32:19Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj.art-e6c6e16150d74eb9a22791e0ee2f66f22023-05-10T00:25:55ZengHindawi LimitedAbstract and Applied Analysis1687-04092023-01-01202310.1155/2023/9735244On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive MappingsJoseph Frank Gordon0Abdul Hayee Shaikh1Augustine Annan2Yarhands Dissou Arthur3Emmanuel Akweittey4Benjamin Adu Obeng5Department of Mathematics EducationCollege of Electronic and Information EngineeringDepartment of Mathematical SciencesDepartment of Mathematics EducationDepartment of Mathematics EducationDepartment of Mathematics EducationIn this paper, we extend the results obtained by Ezearn on annihilated points for his higher-order nonexpansive mappings to the context of general higher-order nonexpansive mappings. Precisely in his thesis, Ezearn introduced the concept of annihilated points, which extends the notion of fixed points, and it is only meaningful in the context of higher-order nonexpansive mappings and gave some mild conditions when the annihilated points could exist in strictly convex Banach spaces. In the last direction, we also extend Ezearn’s result on the approximate fixed point sequence for higher-order nonexpansive mappings to general higher-order nonexpansive mappings.http://dx.doi.org/10.1155/2023/9735244 |
| spellingShingle | Joseph Frank Gordon Abdul Hayee Shaikh Augustine Annan Yarhands Dissou Arthur Emmanuel Akweittey Benjamin Adu Obeng On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings Abstract and Applied Analysis |
| title | On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings |
| title_full | On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings |
| title_fullStr | On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings |
| title_full_unstemmed | On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings |
| title_short | On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings |
| title_sort | on annihilated points and approximate fixed points of general higher order nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2023/9735244 |
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