An Iterative Algorithm for Solving Generalized Equilibrium Problems and Fixed Points Problems

Mengqin Li, Yonghong Yao, Yeong‐Cheng Liou · 2009

In this paper, we consider an iterative algorithm for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a nonexpansive mapping. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above two sets under some mild conditions imposed on algorithm parameters.

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