Strong Convergence Theorems for Solutions of Equilibrium Problems and Common Fixed Points of a Finite Family of Asymptotically Nonextensive Nonself Mappings
An iterative algorithm for finding a common element of the set of common fixed points of a finite family of asymptotically nonextensive nonself mappings and the set of solutions for equilibrium problems is discussed. A strong convergence theorem of common element is established in a uniformly smooth...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/494632 |
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| _version_ | 1832567159604117504 |
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| author | Lijuan Zhang Hui Tong Ying Liu |
| author_facet | Lijuan Zhang Hui Tong Ying Liu |
| author_sort | Lijuan Zhang |
| collection | DOAJ |
| description | An iterative algorithm for finding a common element of the set of common fixed points of a finite family of asymptotically nonextensive nonself mappings and the set of solutions for equilibrium problems is discussed. A strong convergence theorem of common element is established in a uniformly smooth and uniformly convex Banach space. |
| format | Article |
| id | doaj-art-2fab916985d14e71bf87bc35ed263c55 |
| 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-2fab916985d14e71bf87bc35ed263c552025-02-03T01:02:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/494632494632Strong Convergence Theorems for Solutions of Equilibrium Problems and Common Fixed Points of a Finite Family of Asymptotically Nonextensive Nonself MappingsLijuan Zhang0Hui Tong1Ying Liu2College of Mathematics and Computer, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer, Hebei University, Baoding 071002, ChinaAn iterative algorithm for finding a common element of the set of common fixed points of a finite family of asymptotically nonextensive nonself mappings and the set of solutions for equilibrium problems is discussed. A strong convergence theorem of common element is established in a uniformly smooth and uniformly convex Banach space.http://dx.doi.org/10.1155/2014/494632 |
| spellingShingle | Lijuan Zhang Hui Tong Ying Liu Strong Convergence Theorems for Solutions of Equilibrium Problems and Common Fixed Points of a Finite Family of Asymptotically Nonextensive Nonself Mappings Abstract and Applied Analysis |
| title | Strong Convergence Theorems for Solutions of Equilibrium Problems and Common Fixed Points of a Finite Family of Asymptotically Nonextensive Nonself Mappings |
| title_full | Strong Convergence Theorems for Solutions of Equilibrium Problems and Common Fixed Points of a Finite Family of Asymptotically Nonextensive Nonself Mappings |
| title_fullStr | Strong Convergence Theorems for Solutions of Equilibrium Problems and Common Fixed Points of a Finite Family of Asymptotically Nonextensive Nonself Mappings |
| title_full_unstemmed | Strong Convergence Theorems for Solutions of Equilibrium Problems and Common Fixed Points of a Finite Family of Asymptotically Nonextensive Nonself Mappings |
| title_short | Strong Convergence Theorems for Solutions of Equilibrium Problems and Common Fixed Points of a Finite Family of Asymptotically Nonextensive Nonself Mappings |
| title_sort | strong convergence theorems for solutions of equilibrium problems and common fixed points of a finite family of asymptotically nonextensive nonself mappings |
| url | http://dx.doi.org/10.1155/2014/494632 |
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