Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces

Abstract

In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject. Also, the inexact version of the Halpern iteration is studied in CAT(0) spaces.

Keywords

• fixed point
• strong convergence
• composite halpern-type iteration
• non- expansive mapping
• cat(0) space
• primary 47h10
• 47h09
• secondary 26a18