Abstract In this project let 𝐻 be a real Hilbert space and 𝐾 a nonempty closed convex subset of 𝐻. Suppose 𝑇: 𝐾 → 𝐶𝐵(𝐾) is a multi-valued Lipschitzian pseudocontractive mapping such that 𝐹(𝑇) ≠ ∅. An Ishikawa-type iterative algorithm was constructed and it was shown that, for the corresponding sequence { 𝑥 } , under appropriate conditions on the iteration parameters, lim 𝑛→∞ 𝑖𝑛𝑓 𝑑(𝑥 𝑛 , 𝑇𝑥 𝑛 𝑛 ) = 0 holds. Finally, convergence theorems were proved under approximate additional conditions. Djitte and Sene Theorems were significant improvement on important recent results of Panyanak and Sastry and Babu.