About geometrical convergence of general iterative methods applied to nonunique solvable convex problems. II (Q1347145)

[For part I see ibid. 54, No. 1, 1-14 (1994; reviewed above).] This paper deals mainly with the iterative scheme (1) \(x_{k + 1} = T_k (x_k - \lambda_k t_k)\) to get elements in \(M\), while the operators \(T_k : H \to H\), elements in \(t_k \in H\) and parameters \(\lambda_k\) satisfy certain relations depending on \(M\). It treats the applications discussed in part I in more detail. By suitable combination of the assumptions considered in part I some special results are established for the geometrical convergence of the method (1). The obtained error estimates seem to be new. Several relations to known results are established as well.