2.1 Introduce the new iterative algorithms and new theorems.
2.2 Prove the strong convergent theorem by using Lipschitzian semigroup mapping or nonexpansive semigroup mapping in Hilbert space or Banach space.
2.3 Improve and develop the iterative algorithms for finding the common fixed point of Lipschitzian semigroup mapping or nonexpansive semigroup mapping with the set of solution of equilibrium problem, the set of solution of variational inequality problem, the set of solution of variational inclusion problem or the set of solution of hierarchical fixed point problem.