Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings
We construct a new Halpern type iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of ge...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/251612 |
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| _version_ | 1850169134773436416 |
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| author | Yekini Shehu |
| author_facet | Yekini Shehu |
| author_sort | Yekini Shehu |
| collection | DOAJ |
| description | We construct a new Halpern type iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of
generalized f-projection operator. Using this result, we discuss strong convergence theorem concerning general H-monotone mappings. Our results extend many known recent results in the literature. |
| format | Article |
| id | doaj-art-a5e808d4fc054501b97a527a1bd7fa96 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a5e808d4fc054501b97a527a1bd7fa962025-08-20T02:20:48ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/251612251612Strong Convergence Theorems for Families of Weak Relatively Nonexpansive MappingsYekini Shehu0Mathematics Institute, African University of Science and Technology, Abuja, NigeriaWe construct a new Halpern type iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of generalized f-projection operator. Using this result, we discuss strong convergence theorem concerning general H-monotone mappings. Our results extend many known recent results in the literature.http://dx.doi.org/10.1155/2011/251612 |
| spellingShingle | Yekini Shehu Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings Abstract and Applied Analysis |
| title | Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings |
| title_full | Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings |
| title_fullStr | Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings |
| title_full_unstemmed | Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings |
| title_short | Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings |
| title_sort | strong convergence theorems for families of weak relatively nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2011/251612 |
| work_keys_str_mv | AT yekinishehu strongconvergencetheoremsforfamiliesofweakrelativelynonexpansivemappings |