Strong convergence to solutions of generalized mixed equilibrium problems with applications (Q410921)
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scientific article; zbMATH DE number 6021665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence to solutions of generalized mixed equilibrium problems with applications |
scientific article; zbMATH DE number 6021665 |
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Strong convergence to solutions of generalized mixed equilibrium problems with applications (English)
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4 April 2012
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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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Halpern-type iteration
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generalized mixed equilibrium problem
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uniformly smooth and uniformly convex Banach spaces
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