The forward–backward splitting methods for variational inequalities and minimization problems in Banach spaces

Abstract

Abstract This paper is concerned with the study of a class of forward–backward splitting methods based on Lyapunov distance for variational inequalities and convex minimization problem in Banach spaces.

Keywords

• Banach space
• Forward–backward splitting methods
• Variational inequalities
• Maximal monotone operators
• Duality mapping