New strongly convergent iterative methods for nonexpansive mappings
Journal of Nonlinear Functional Analysis · 2024
In this paper, we introduce two new iterative algorithms, Halpern-Krasnosel'skiȋ-Mann iteration (HKM) and the Krasnosel'skiȋ-Mann-Halpern iteration (KMH) for fixed points of nonexpansive mappings.Under mild conditions, we proved the strong convergence theorems of the algorithms for fixed points of nonexpansive mappings in Hilbert spaces.Finally, we give a numerical example for illustrating the efficiency of the given algorithms in comparison with existing algorithms in the literatures.