Strong convergence theorems of modified Mann iterative process for nonexpansive mappings in Hilbert spaces
HaiFang Liu, Rudong Chen · Journal of Mathematical Inequalities · 2011
The purpose of this article is to modify normal Mann's iterative process to have strong convergence for nonexpansive mappings in the formework of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the fixed point of nonexpansive mappings which is the unique solution of a variational inequality, which is also the optimality condition for a minimization problem.