Fixed Point Theorems and Ergodic Theorems for Nonlinear Mappings in Hilbert Spaces
Wataru Takahashi, Jen‐Chih Yao · Taiwanese Journal of Mathematics · 2011
In this paper, we first consider classes of nonlinear mappings containing the class of firmly nonexpansive mappings which can be deduced from an equilibrium problem in a Hilbert space. Further, we deal with fixed point theorems and ergodic theorems for these nonlinear mappings.