Mann’s algorithm for nonexpansive mappings in CAT\((\kappa)\) spaces. (English) Zbl 1319.47053
Summary: In this paper, it is proved that the sequence defined by Mann’s algorithm \(\Delta\)-converges to a fixed point in complete CAT\((\kappa)\) spaces.
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
References:
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