Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
<p>Abstract</p> <p>We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-<it>ϕ</it>-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common ele...
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| Formato: | article |
| Lenguaje: | EN |
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SpringerOpen
2011
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| Acceso en línea: | https://doaj.org/article/47e010f4369344ec8bcf9283d0cd3260 |
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| Sumario: | <p>Abstract</p> <p>We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-<it>ϕ</it>-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property.</p> <p> <b>2000 Mathematics subject classification</b>: 47H05, 47H09, 47H10, 47J25</p> |
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