Strong convergence of modified SP-iteration for mixed type asymptotically nonexpansive mappings in hyperbolic spaces. (English) Zbl 07829180
Summary: In this paper, a modified SP-iteration for asymptotically nonexpansive mappings is introduced and studied. We then establish a strong convergence theorem for a modified SP-iteration scheme for three asymptotically nonexpansive self-mappings and three asymptotically nonexpansive nonself-mappings under mild conditions in a uniformly convex hyperbolic spaces. The results presented here extend and improve some related results in the literature.
MSC:
| 47H10 | Fixed-point theorems |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 46B20 | Geometry and structure of normed linear spaces |
Keywords:
strong convergence; mixed type asymptotically nonexpansive mappings; common fixed points; SP-iteration; uniformly convex hyperbolic spacesReferences:
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