Iterative Methods for Equilibrium Problems and Monotone Inclusion Problems in Hilbert Spaces

作者:Wu Huan chun; Cheng Cao zong*
来源:Journal of Applied Mathematics, 2013, 2013: 280909.
DOI:10.1155/2013/280909

摘要

We introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of zeros of the sum of maximal monotone operators, and we obtain strong convergence theorems in Hilbert spaces. We also apply our results to the variational inequality and convex minimization problems. Our results extend and improve the recent result of Takahashi et al. (2012).

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