General iterative methods for system of equilibrium problems and constrained convex minimization problem in Hilbert spaces
Summary: We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of solutions of system of equilibrium problems and a constrained convex minimization problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by \textit{M. Tian} and \textit{L. Liu} [Optimization 63, No. 9, 1367--1385 (2014; Zbl 1293.47067)] and many others. Furthermore, we give numerical example to demonstrate the effectiveness of our iterative scheme.
scientific article; zbMATH DE number 6950957