Accumulation and control of random errors in the Ishikawa iterative process in arbitrary Banach space

The purpose of this note is to study directly the relation between random errors and two parameter sequences in the Ishikawa iterative process and to estimate the accumulation of errors in the iterative process. The obtained results show that when one of the sequences converges to zero, the accumulation of errors is bounded if the other sequence is non-summable; while the accumulation of errors is controllable in a permissible range if the sequence is summable.