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Fixed Point Theorems and Ergodic Theorems for Nonlinear Mappings in Hilbert Spaces

Fixed Point Theorems and Ergodic Theorems for Nonlinear Mappings in Hilbert Spaces

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.