Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications
We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/308791 |
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| Summary: | We introduce a Halpern-type iteration for a generalized mixed equilibrium
problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence
theorems are also established in this paper. As applications, we apply
our main result to mixed equilibrium, generalized equilibrium, and mixed variational
inequality problems in Banach spaces. Finally, examples and numerical
results are also given. |
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| ISSN: | 1110-757X 1687-0042 |