Weak Convergence Theorems for Families of Nonlinear Mappings with Generalized Parameters
Chih-Sheng Chuang, Wataru Takahashi · Numerical Functional Analysis and Optimization · 2014
In this article, we first introduce new families of nonlinear mappings in a Hilbert space. Next, we consider iterative processes for the families with generalized parameters and then prove weak convergence theorems for finding common fixed points of the families. As applications, we obtain weak convergence theorems for finding solutions of variational inclusion problems, equilibrium problems, and split feasibility problems in Hilbert spaces. Our results generalize and improve related results in the literatures.