An iterative method for finding common solutions of a generalized equilibrium problem and fixed point problems in a Hilbert space

Rudong Chen · Journal of Tianjin Normal University · 2010

An iterative method is introduced for finding common elements of the solution set of a generalized equilibrium problem and the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space.The strong convergence of the proposed iterative algorithm to the unique solution of the variational inequality which is the optimality condition for the minimization problem is proved.

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