A new iterative scheme for solving the equilibrium problems, variational inequality problems, and fixed point problems in Hilbert spaces (Q442799)
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scientific article; zbMATH DE number 6063316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new iterative scheme for solving the equilibrium problems, variational inequality problems, and fixed point problems in Hilbert spaces |
scientific article; zbMATH DE number 6063316 |
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A new iterative scheme for solving the equilibrium problems, variational inequality problems, and fixed point problems in Hilbert spaces (English)
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6 August 2012
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Summary: We introduce the new iterative methods for finding a common solution set of monotone, Lipschitz-type continuous equilibrium problems and the set of fixed point of nonexpansive mappings which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a real Hilbert space. The main result extends various results existing in the current literature.
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