On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces
In the setting of Hilbert spaces, inspired by Iemoto and Takahashi (2009), we study a Mann’s method with viscosity to approximate strongly (common) fixed points of a nonexpansive mapping and a nonspreading mapping. A crucial tool in our results is the nonspreading-average type mapping.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/152530 |
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| author | Nawab Hussain Giuseppe Marino Afrah A. N. Abdou |
| author_facet | Nawab Hussain Giuseppe Marino Afrah A. N. Abdou |
| author_sort | Nawab Hussain |
| collection | DOAJ |
| description | In the setting of Hilbert spaces, inspired by Iemoto and Takahashi (2009), we study a Mann’s method with viscosity to approximate strongly (common) fixed points of a nonexpansive mapping and a nonspreading mapping. A crucial tool in our results is the nonspreading-average type mapping. |
| format | Article |
| id | doaj-art-69e796a3daf44c65849f3fa282c4356d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-69e796a3daf44c65849f3fa282c4356d2025-02-03T01:02:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/152530152530On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert SpacesNawab Hussain0Giuseppe Marino1Afrah A. N. Abdou2Department 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, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn the setting of Hilbert spaces, inspired by Iemoto and Takahashi (2009), we study a Mann’s method with viscosity to approximate strongly (common) fixed points of a nonexpansive mapping and a nonspreading mapping. A crucial tool in our results is the nonspreading-average type mapping.http://dx.doi.org/10.1155/2014/152530 |
| spellingShingle | Nawab Hussain Giuseppe Marino Afrah A. N. Abdou On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces Abstract and Applied Analysis |
| title | On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces |
| title_full | On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces |
| title_fullStr | On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces |
| title_full_unstemmed | On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces |
| title_short | On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces |
| title_sort | on mann s method with viscosity for nonexpansive and nonspreading mappings in hilbert spaces |
| url | http://dx.doi.org/10.1155/2014/152530 |
| work_keys_str_mv | AT nawabhussain onmannsmethodwithviscosityfornonexpansiveandnonspreadingmappingsinhilbertspaces AT giuseppemarino onmannsmethodwithviscosityfornonexpansiveandnonspreadingmappingsinhilbertspaces AT afrahanabdou onmannsmethodwithviscosityfornonexpansiveandnonspreadingmappingsinhilbertspaces |