Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

Jian-Wen Peng and Yan Wang

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-13

Abstract:

We introduce an Ishikawa iterative scheme by the viscosity approximate 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 S. Takahashi and W. Takahashi's results (2007).

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:491357

DOI: 10.1155/2010/491357

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