Communications in Mathematical Analysis

Let T: _ω ↦ _ω be a nonexpansive mapping (possibly nonlinear) on the p-adic Hilbert space (_ω, ∥ · ∥, 〈·,·〉). We introduce the Cesàro-like means: where P_n = α₁+···+α_n and (α_k)_k∈ℕ ⊂ is a sequence of nonzero elements satisfying some additional assumptions. And, we provide results on both the strong and weak convergence of the Cesàro-like means to a fixed point y of T.