A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space
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Rinko Shinzato
shinzato.l.aa@m.is.titech.ac.jp
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Wataru Takahashi
wataru@is.titech.ac.jp
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Abstract
In this paper, we prove a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem, the set of solutions of the variational inequality for a monotone mapping and the set of fixed points of a nonexpansive mapping in a Hilbert space by using a new hybrid method. Using this theorem, we obtain three new results for finding a solution of an equilibrium problem, a solution of the variational inequality for a monotone mapping and a fixed point of a nonexpansive mapping in a Hilbert space.
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Published
2008-12-01
How to Cite
[1]
R. Shinzato and W. Takahashi, “A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space”, CUBO, vol. 10, no. 4, pp. 15–26, Dec. 2008.
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