Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-Mappings
A viscosity method for hierarchical fixed point problems is presented to solve variational inequalities, where the involved mappings are nonexpansive nonself-mappings. Solutions are sought in the set of the common fixed points of an infinite family of nonexpansive nonself-mappings. The results gener...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/574215 |
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| _version_ | 1849694645101002752 |
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| author | Yaqin Wang |
| author_facet | Yaqin Wang |
| author_sort | Yaqin Wang |
| collection | DOAJ |
| description | A viscosity method for hierarchical fixed point problems is presented to solve variational inequalities, where the involved mappings are nonexpansive nonself-mappings. Solutions are sought in the set of the common fixed points of an infinite family of nonexpansive nonself-mappings. The results generalize and improve the recent results announced by many other authors. |
| format | Article |
| id | doaj-art-f3ba6495b51d46548015b0f09ad1b153 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f3ba6495b51d46548015b0f09ad1b1532025-08-20T03:20:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/574215574215Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-MappingsYaqin Wang0Department of Mathematics, Shaoxing University, Shaoxing 312000, ChinaA viscosity method for hierarchical fixed point problems is presented to solve variational inequalities, where the involved mappings are nonexpansive nonself-mappings. Solutions are sought in the set of the common fixed points of an infinite family of nonexpansive nonself-mappings. The results generalize and improve the recent results announced by many other authors.http://dx.doi.org/10.1155/2013/574215 |
| spellingShingle | Yaqin Wang Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-Mappings Journal of Applied Mathematics |
| title | Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-Mappings |
| title_full | Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-Mappings |
| title_fullStr | Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-Mappings |
| title_full_unstemmed | Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-Mappings |
| title_short | Viscosity Method for Hierarchical Fixed Point Problems with an Infinite Family of Nonexpansive Nonself-Mappings |
| title_sort | viscosity method for hierarchical fixed point problems with an infinite family of nonexpansive nonself mappings |
| url | http://dx.doi.org/10.1155/2013/574215 |
| work_keys_str_mv | AT yaqinwang viscositymethodforhierarchicalfixedpointproblemswithaninfinitefamilyofnonexpansivenonselfmappings |