A General Inertial Viscosity Type Method for Nonexpansive Mappings and Its Applications in Signal Processing

Abstract

In this paper, we propose viscosity algorithms with two different inertia parameters for solving fixed points of nonexpansive and strictly pseudocontractive mappings. Strong convergence theorems are obtained in Hilbert spaces and the applications to the signal processing are considered. Moreover, some numerical experiments of proposed algorithms and comparisons with existing algorithms are given to the demonstration of the efficiency of the proposed algorithms. The numerical results show that our algorithms are superior to some related algorithms.

Keywords

• nonexpansive mapping
• strict pseudo-contraction
• variational inequality problem
• inclusion problem
• signal processing