Strong Convergence of Modified Inertial Mann Algorithms for Nonexpansive Mappings

Abstract

We investigated two new modified inertial Mann Halpern and inertial Mann viscosity algorithms for solving fixed point problems. Strong convergence theorems under some fewer restricted conditions are established in the framework of infinite dimensional Hilbert spaces. Finally, some numerical examples are provided to support our main results. The algorithms and results presented in this paper can generalize and extend corresponding results previously known in the literature.

Keywords

• halpern algorithm
• viscosity algorithm
• inertial method
• nonexpansive mapping
• strong convergence