Convergence in Norm of Projection Regularized Krasnoselski-Mann Iterations for Fixed Points of Cutters
Qiao‐Li Dong, Songnian He · Numerical Functional Analysis and Optimization · 2013
In this article, we introduce a projection regularized Krasnoselski-Mann iteration for cutters. The proposed algorithm ensures the strong convergence of the generated sequence toward the least norm element of the set of fixed points of the cutter. It is verified that the projection regularized Krasnoselski-Mann iteration converges locally faster than the regularized Krasnoselski-Mann iteration introduced by Maingé and Maruster [Citation11]. Furthermore, we present projection regularized Krasnoselski-Mann iterations for quasi-nonexpansive and nonexpansive mappings in Hilbert spaces.