The hybrid block iterative algorithm for solving the system of equilibrium problems and variational inequality problems
In this paper, we construct the hybrid block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi - ϕ - asymptotically nonexpansive mappings, the set of the solutions of the variational inequality for an α -inverse-str...
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| Veröffentlicht in: | SpringerPlus Jg. 1; H. 1; S. 8 - 14 |
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| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham
Springer International Publishing
01.12.2012
Springer Nature B.V Springer International Publishing AG |
| Schlagworte: | |
| ISSN: | 2193-1801, 2193-1801 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we construct the hybrid block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi -
ϕ
- asymptotically nonexpansive mappings, the set of the solutions of the variational inequality for an
α
-inverse-strongly monotone operator, and the set of solutions of a system of equilibrium problems. Moreover, we obtain a strong convergence theorem for the sequence generated by this process in the framework Banach spaces. The results presented in this paper improve and generalize some well-known results in the literature. |
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| Bibliographie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 |
| ISSN: | 2193-1801 2193-1801 |
| DOI: | 10.1186/2193-1801-1-8 |