Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces

Abstract

In this article, we introduce and study some strong convergence theorems for a mixed-type SP-iteration for three asymptotically nonexpansive self-mappings and three asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces. In addition to that, we provide an illustrative example. The findings here expand and improve upon some of the relevant conclusions found in the published literature.

Keywords

• sp-iteration
• asymptotically nonexpansive self-mapping
• asymptotically nonexpansive nonself-mapping
• common fixed point
• hyperbolic space
• 47h10
• 47h09
• 46b20