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In this work, we establish strong convergence theorems for solving the fixed point problem of nonexpansive semigroups and strict pseudocontractions, and the zero-finding problem of maximal monotone operators in a Hilbert space. We further apply our result to the convex minimization problem and commutative semigroups.

Convergence results for the zero-finding problem and fixed points of nonexpansive semigroups and strict pseudocontractions