The Method of Alternating Resolvents Revisited

Abstract

The purpose of this article is to prove a strong convergence result associated with a generalization of the method of alternating resolvents introduced by the authors in convergence of the method of alternating resolvents [4] under minimal assumptions on the control parameters involved. Thus, this article represents a significant improvement of the article mentioned above.

Keywords:

• Alternating resolvents
• Maximal monotone operator
• Nonexpansive map
• Proximal point algorithm
• Resolvent operator

Mathematics Subject Classification:

• 47J25
• 47H05
• 47H09