A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities (Q1957579)
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scientific article; zbMATH DE number 5791622
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities |
scientific article; zbMATH DE number 5791622 |
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A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities (English)
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27 September 2010
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Summary: We introduce a new iterative scheme based on extragradient method and viscosity approximation method for finding a common element of the solutions set of a system of equilibrium problems, fixed point sets of an infinite family of nonexpansive mappings, and the solution set of a variational inequality for a relaxed cocoercive mapping in a Hilbert space. We prove a strong convergence theorem. The results in this paper unify and generalize some well-known results in the literature.
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extragradient method
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viscosity approximation method
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nonexpansive mappings
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relaxed cocoercive mapping
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Hilbert space
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strong a convergence
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0.98219436
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0.9533589
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0.94836605
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0.94756263
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