New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces
We propose an explicit iterative scheme for finding a common element of the set of fixed points of infinitely many strict pseudo-contractive mappings and the set of solutions of an equilibrium problem by the general iterative method, which solves the variational inequality. In the setting of real Hi...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/139123 |
| Summary: | We propose an explicit iterative scheme for finding a common
element of the set of fixed points of infinitely many strict pseudo-contractive mappings and
the set of solutions of an equilibrium problem by the general iterative method, which solves
the variational inequality. In the setting of real Hilbert spaces, strong convergence theorems
are proved. The results presented in this paper improve and extend the corresponding
results reported by some authors recently. Furthermore, two numerical examples are given
to demonstrate the effectiveness of our iterative scheme. |
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| ISSN: | 1110-757X 1687-0042 |