Iterative methods for equilibrium problems and monotone inclusion problems in Hilbert spaces
Summary: 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 \textit{W. Takahashi} et al. [Taiwanese J. Math. 16, No. 3, 1151--1172 (2012; Zbl 06062770)].
zeros of the sum of maximal monotone operators
scientific article; zbMATH DE number 6950595