Summary: The purpose of this paper is to investigate the strong convergence of the modified Ishikawa and Mann iterative processes with errors for approximating fixed points of uniformly \(L\)-Lipschitzian and asymptotically pseudocontractive mappings in an arbitrary real Banach space. By removing the restriction \[ \sum\limits^\infty_{n=0}\alpha^2_n<\infty,\;\sum\limits^\infty_{n=0}\gamma_n<\infty,\;\sum\limits^\infty_{n=0}\alpha_n(\beta_n+\delta_n)<\infty, \;\sum\limits^\infty_{n=0}\alpha_n(k_n-1)<\infty, \] it is proven that the relevant results remain true. The results presented in this paper improve and extend some recent existing results.