A proximal gradient method with double inertial steps for minimization problems involving demicontractive mappings

Abstract

Abstract In this article, we present a novel proximal gradient method based on double inertial steps for solving fixed points of demicontractive mapping and minimization problems. We also establish a weak convergence theorem by applying this method. Additionally, we provide a numerical example related to a signal recovery problem.

Keywords

• Proximal gradient method
• Mann iteration
• Signal recovery
• Process innovation