Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction

Yisheng Song, Hongjun Wang

In this paper, for an $\lambda$-strict pseudocontraction $T$, we prove strong convergence of the modified Mann's iteration defined by $$x_{n+1}=β_{n}u+γ_nx_n+(1-β_{n}-γ_n)[α_{n}Tx_n+(1-α…