Convergence Results on the General Inertial-Mann-Halpern and General Inertial Mann Algorithms

Abstract

In this paper, we prove strong convergence theorem of the general inertial Mann-Halpern algorithm for nonexpansive mappings in the setting of Hilbert spaces.we also prove weak convergence theorem of the general inertial Mann algorithmfor k-strict pseudo-contractive mappings in the setting of Hilbert spaces. These convergence results extend and generalize some existing results in the literature.Finally, we provide examples to verify our main results.