Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces. (English) Zbl 07794647
Summary: 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.
MSC:
| 47J26 | Fixed-point iterations |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
Keywords:
SP-iteration; strong convergence; asymptotically non-expansive self-mapping; asymptotically non-expansive nonself-mapping; common fixed point; hyperbolic spaceReferences:
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