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uniformly convex space; bead space; central point

References:

[1] Lim, T. C.: **On asymptotic centers and fixed points of nonexpansive mappings**. Canad. J. Math. 32 (1980), 421-430. DOI 10.4153/CJM-1980-033-5 | MR 0571935 | Zbl 0454.47045

[2] Pasicki, L.: **A basic fixed point theorem**. Bull. Polish Acad. Sci. Math. 54 (2006), 85-88. DOI 10.4064/ba54-1-8 | MR 2270797 | Zbl 1105.54022

[3] Pasicki, L.: **Bead spaces and fixed point theorems**. Topology Appl. 156 (2009), 1811-1816. DOI 10.1016/j.topol.2009.03.042 | MR 2519217 | Zbl 1171.54024