On Strong Convergence of Halpern’s Method Using Averaged Type Mappings
Filomena Cianciaruso, Giuseppe Marino, Angela Rugiano, Bruno Scardamaglia · Journal of Applied Mathematics · 2014
Under suitable hypotheses on control coefficients, we study Halpern’s method to approximate strongly common fixed points of a nonexpansive mapping and of a nonspreading mapping or a fixed point of one of them. A crucial tool in our results is the regularization with the averaged type mappings.