Strong convergence theorems for equilibrium problems and fixed point problems in Hilbert spaces (Q963551)
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scientific article; zbMATH DE number 5695249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence theorems for equilibrium problems and fixed point problems in Hilbert spaces |
scientific article; zbMATH DE number 5695249 |
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Strong convergence theorems for equilibrium problems and fixed point problems in Hilbert spaces (English)
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20 April 2010
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Summary: We introduce an Ishikawa iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert space. Then, we prove some strong convergence theorems which extend and generalize the results by \textit{S. Takahashi} and \textit{W. Takahashi} [J. Math. Anal. Appl. 331, No. 1, 506--515 (2007; Zbl 1122.47056)].
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Ishikawa iterative scheme
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nonexpansive mapping
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Hilbert space
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strong convergence
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