Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a Banach space (Q1035066)
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scientific article; zbMATH DE number 5627602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a Banach space |
scientific article; zbMATH DE number 5627602 |
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Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a Banach space (English)
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10 November 2009
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From the summary: We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in a Banach space. Under suitable assumptions, we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space.
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hybrid projection algorithm
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equilibrium problem
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relatively quasi-nonexpansive mappings
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variational inequality
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strong convergence
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