Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces

In this paper, we construct two iteration schemes for approximating a common element of the set of solutions of equilibrium problems (GMEP and GEP) and the set of common fixed points of a finite family of kstrictly asymptotically pseudocontractions in Hilbert spaces. Fixed point theorems are established in Hilbert spaces. Numerical examples and applications are provided. The main results of this paper modify and improve many important recent results in the literature.