## A strong convergence theorem for contraction semigroups in Banach spaces.(English)Zbl 1095.47016

T. Suzuki in [Proc. Am. Math. Soc. 131, No. 7, 2133–2136 (2003; Zbl 1031.47038)] established a theorem on the strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces. In the paper under review, the author generalizes Suzuki’s result for uniformly convex Banach spaces with a weakly continuous duality map.

### MSC:

 47H20 Semigroups of nonlinear operators 47H10 Fixed-point theorems 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.

Zbl 1031.47038
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### References:

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