On Strong Convergence of Halpern’s Method Using Averaged Type Mappings
Under suitable hypotheses on control coefficients, we study Halpern’s method to approximate strongly common fixed points of a nonexpansive mapping and of a nonspreading mapping or a fixed point of one of them. A crucial tool in our results is the regularization with the averaged type mappings.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/473243 |
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| _version_ | 1849308023571349504 |
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| author | F. Cianciaruso G. Marino A. Rugiano B. Scardamaglia |
| author_facet | F. Cianciaruso G. Marino A. Rugiano B. Scardamaglia |
| author_sort | F. Cianciaruso |
| collection | DOAJ |
| description | Under suitable hypotheses on control coefficients, we study Halpern’s method to approximate strongly common fixed points of a nonexpansive mapping and of a nonspreading mapping or a fixed point of one of them. A crucial tool in our results is the regularization with the averaged type mappings. |
| format | Article |
| id | doaj-art-16681f9ae8d345a78a8ed3a8da39e98c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-16681f9ae8d345a78a8ed3a8da39e98c2025-08-20T03:54:33ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/473243473243On Strong Convergence of Halpern’s Method Using Averaged Type MappingsF. Cianciaruso0G. Marino1A. Rugiano2B. Scardamaglia3Dipartimento di Matematica ed Informatica, Universitá della Calabria, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica ed Informatica, Universitá della Calabria, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica ed Informatica, Universitá della Calabria, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica ed Informatica, Universitá della Calabria, 87036 Arcavacata di Rende, ItalyUnder suitable hypotheses on control coefficients, we study Halpern’s method to approximate strongly common fixed points of a nonexpansive mapping and of a nonspreading mapping or a fixed point of one of them. A crucial tool in our results is the regularization with the averaged type mappings.http://dx.doi.org/10.1155/2014/473243 |
| spellingShingle | F. Cianciaruso G. Marino A. Rugiano B. Scardamaglia On Strong Convergence of Halpern’s Method Using Averaged Type Mappings Journal of Applied Mathematics |
| title | On Strong Convergence of Halpern’s Method Using Averaged Type Mappings |
| title_full | On Strong Convergence of Halpern’s Method Using Averaged Type Mappings |
| title_fullStr | On Strong Convergence of Halpern’s Method Using Averaged Type Mappings |
| title_full_unstemmed | On Strong Convergence of Halpern’s Method Using Averaged Type Mappings |
| title_short | On Strong Convergence of Halpern’s Method Using Averaged Type Mappings |
| title_sort | on strong convergence of halpern s method using averaged type mappings |
| url | http://dx.doi.org/10.1155/2014/473243 |
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