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

LC Zeng, Qamrul Hasan Ansari, DavidS Shyu, J-C Yao · Fixed Point Theory and Applications · 2010

Abstract 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 "Equation missing" for two maximal monotone operators "Equation missing" and "Equation missing" defined on a Banach space "Equation missing". Strong and weak convergence theorems for these two modified hybrid proximal-point algorithms are established.

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