A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings
In this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically 𝜙-strongly pseudocontractive mappings in a uniformly smooth Banach space.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/912050 |
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| _version_ | 1832553018721042432 |
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| author | Luigi Muglia Yonghong Yao |
| author_facet | Luigi Muglia Yonghong Yao |
| author_sort | Luigi Muglia |
| collection | DOAJ |
| description | In this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically 𝜙-strongly pseudocontractive mappings in a uniformly smooth Banach space. |
| format | Article |
| id | doaj-art-e3c76afd116c466581e1a130d687357f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e3c76afd116c466581e1a130d687357f2025-02-03T05:57:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/912050912050A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive MappingsLuigi Muglia0Yonghong Yao1Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata di Rende, ItalyDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaIn this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically 𝜙-strongly pseudocontractive mappings in a uniformly smooth Banach space.http://dx.doi.org/10.1155/2012/912050 |
| spellingShingle | Luigi Muglia Yonghong Yao A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings Journal of Applied Mathematics |
| title | A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings |
| title_full | A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings |
| title_fullStr | A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings |
| title_full_unstemmed | A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings |
| title_short | A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings |
| title_sort | note on implicit and explicit mann iterative processes for asymptotically 𝜙 strongly pseudocontractive mappings |
| url | http://dx.doi.org/10.1155/2012/912050 |
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