An iterative method with norm convergence for a class of generalized equilibrium problems (Q364459)
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scientific article; zbMATH DE number 6206834
| Language | Label | Description | Also known as |
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| English | An iterative method with norm convergence for a class of generalized equilibrium problems |
scientific article; zbMATH DE number 6206834 |
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An iterative method with norm convergence for a class of generalized equilibrium problems (English)
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9 September 2013
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Summary: Recently, \textit{S. Takahashi} and \textit{W. Takahashi} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 3, 1025--1033 (2008; Zbl 1142.47350)] proposed an iterative algorithm for solving a problem for finding common solutions of generalized equilibrium problems governed by inverse strongly monotone mappings and of fixed point problems for nonexpansive mappings. In this paper, we provide a result that allows for the removal of one condition ensuring the strong convergence of the algorithm.
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nonexpansive mapping
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fixed point
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inverse-strongly monotone mapping
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variational inequality
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equilibrium problem
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0.9530919
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0.9522949
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0.94533074
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