... since the iterate composed self-mapping BABATn∪→∪: , 0N∈∀n is continuous for any initial point BAx∪∈ (since it is contractive, then Lipschitz continuous in view of (2. 9a) with associate ... the initial point x, which is in A if Ax∈, since A is closed, and in B if Bx∈ since B is closed. Take with no loss in generality the norm-induced metric and consider the associate metric ... P Agarwal2 1Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia) – Aptdo. 644-Bilbao, 48080-Bilbao, Spain 2Department of Mathematics,...