We modify the three-step iterative schemes to prove the strong convergence theorems by using the hybrid projection methods for finding a common element of the set of solutions of fixed points for a pseudocontractive mapping and a nonexpansive semigroup mapping and the set of solutions of a variational inequality problem for a monotone mapping in a Hilbert space under some appropriate control conditions. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.
Phayap Katchang. Somyot Plubtieng. "The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping." Abstr. Appl. Anal. 2014 (SI22) 1 - 8, 2014. https://doi.org/10.1155/2014/813701