Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

Abstract

Abstract We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. 2010 Mathematics Subject Classification: 47H09; 47J25; 47J30.

Keywords

• accretive operators
• uniformly smooth and uniformly convex
• Banach space
• sunny nonexpansive retraction
• weak sequential continuous
• mapping
• regularization