Generic Convergence of Iterates for a Class of Nonlinear Mappings
نویسندگان
چکیده
Clearly, the metric space ( ,d) is complete. In this paper, we use the concept of porosity [1, 2, 3, 4, 5, 6] which we now recall. Let (Y ,ρ) be a complete metric space. We denote by B(y,r) the closed ball of center y ∈ Y and radius r > 0. A subset E ⊂ Y is called porous in (Y ,ρ) if there exist α ∈ (0,1) and r0 > 0 such that for each r ∈ (0,r0] and each y ∈ Y , there exists z ∈ Y for which B(z,αr)⊂ B(y,r) \E. (1.4)
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