Generalized Halpern-type forward–backward splitting methods for convex minimization problems with application to image restoration problems
Duangkamon Kitkuan, Poom Kumam, Juan Martínez‐Moreno · Optimization · 2019
In this work, our interest is to investigate the monotone inclusion problem in the framework of real Hilbert spaces. For solving the inclusion problem, we propose a composite iteration for approximating a zero of sum of two operators. We prove its strong convergence under some mild conditions. Finally, we provide a number of applications to convex minimization and image restoration problems including numerical experiments to support our main theorem.