A double-sequence iteration process for fixed points of continuous pseudocontractions (Q1609089)

Let \(C\) be a bounded closed convex nonempty subset of a (real) Hilbert space \(H\). The idea of a double-sequence iteration is introduced, and it is proved that a Mann-type double-sequence iteration process converges strongly to a fixed point of a continuous pseudocontractive map \(T\) which maps \(C\) into \(C\). Related results deal with the strong convergence of the iteration process to fixed points of nonexpansive maps.