Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-<it>ϕ</it>-nonexpansive mappings
oleh: Kim Jong
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2011-01-01 |
Deskripsi
<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>