Abstract: Some necessary and sufficient conditions for strongly convergence of Ishikawa iterative sequence with random errors of fixed points for asymptotically pseudo-contraction mappings and asymptotically non-expansive mapping in real Banach spaces were given .The results include,extend,and improve some recent results given by Zhang Shi-sen,Liu Q H，etc.

Key words: asymptotically pseudo-contraction mapping, asymptotically , non-expansive mapping;Ishikawa iterative sequence with random errors, fixed points;necessary and sufficient conditions