Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces
We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space. We assume some properties for the operators and get strong convergence to a common solut...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/346517 |
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| Summary: | We consider the variational inequality problem for a
family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space. We assume some properties for the operators and get strong convergence to a common solution to the variational inequality problem by the hybrid
method proposed by Haugazeau. Using these results, we obtain several results
for the variational inequality problem and the proximal point algorithm. |
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| ISSN: | 1110-757X 1687-0042 |