摘要: 1 ~ T ' f (1) n + l i=0 are a.e. convergent. In this paper we will give a generalization of Hopfs theorem to wide class nonlinear operators. the situation, instead being contraction, one usually assumes that is nonexpansive or at least norm decreasing on L I ~. The definition can, course, be literally generalized mappings, and partial sums can also defined inductively by Sof = S,, S,,(Tf). From point view inductive definition, it equally well justified define S,,+ i T(S,f) adopt throughout always latter averages A , : Snf. There several reasons for doing this. Firstly,
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