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The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set EP of a generalized equilibrium problem and the set  Open image in new window  for two maximal monotone operators  Open image in new window  and  Open image in new window  defined on a Banach space  Open image in new window . Strong and weak convergence theorems for these two modified hybrid proximal-point algorithms are established.

Strong and Weak Convergence Theorems for Common Solutions of Generalized Equilibrium Problems and Zeros of Maximal Monotone Operators